The maximum and minimum of A → + B → .

Question

Want to see more full solutions like this?

Answer 1

Question

Chapter 1, Problem 74P

(a)

To determine

The maximum and minimum of A→+B→.

(a)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→+B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the same direction, A→+B→ will be maximum. The maximum of A→+B→ is given by,

(A→+B→)max=|A→|+|B→|

When the two vectors are in the opposite direction, A→+B→ will be minimum. The minimum of A→+B→ is given by,

(A→+B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)max.

(A→+B→)max=(12 m)+(17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)min.

(A→+B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→+B→ are 29 m and 5 m respectively.

(b)

To determine

The maximum and minimum of A→−B→.

(b)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the opposite direction, A→−B→ will be maximum. The maximum of A→−B→ is given by,

(A→−B→)max=|A→|−(−|B→|)=|A→|+|B→|

When the two vectors are in the same direction, A→−B→ will be minimum. The minimum of A→−B→ is given by,

(A→−B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)max.

(A→−B→)max=(12 m)−(−17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)min.

(A→−B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

A pendulum has a 0.4-m-long cord and is given a tangential velocity of 0.2 m/s toward the vertical from a position 0 = 0.3 rad. Part A Determine the equation which describes the angular motion. Express your answer in terms of the variable t. Express coefficients in radians to three significant figures. ΜΕ ΑΣΦ vec (t)=0.3 cos (4.95t) + 0.101 sin (4.95t) Submit Previous Answers Request Answer × Incorrect; Try Again; 6 attempts remaining

Part A ■Review The uniform 150-lb stone (rectangular block) is being turned over on its side by pulling the vertical cable slowly upward until the stone begins to tip. (Figure 1) If it then falls freely (T = 0) from an essentially balanced at-rest position, determine the speed at which the corner A strikes the pad at B. The stone does not slip at its corner C as it falls. Suppose that height of the stone is L = 1.2 ft. Express your answer to three significant figures and include the appropriate units. ? ft VA 10.76 S Submit Previous Answers Request Answer × Incorrect; Try Again; 6 attempts remaining

Consider the circuit shown in the figure. The battery has emf ε = 69 volts and negligible internal resistance. The inductance is L = 0.4 H and the resistances are R 1 = 12 Ω and R 2 = 9.0 Ω. Initially the switch S is open and no currents flow. Then the switch is closed. After leaving the switch closed for a very long time, it is opened again. Just after it is opened, what is the current in R 1?

Answer 2

Question

Chapter 1, Problem 74P

(a)

To determine

The maximum and minimum of A→+B→.

(a)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→+B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the same direction, A→+B→ will be maximum. The maximum of A→+B→ is given by,

(A→+B→)max=|A→|+|B→|

When the two vectors are in the opposite direction, A→+B→ will be minimum. The minimum of A→+B→ is given by,

(A→+B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)max.

(A→+B→)max=(12 m)+(17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)min.

(A→+B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→+B→ are 29 m and 5 m respectively.

(b)

To determine

The maximum and minimum of A→−B→.

(b)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the opposite direction, A→−B→ will be maximum. The maximum of A→−B→ is given by,

(A→−B→)max=|A→|−(−|B→|)=|A→|+|B→|

When the two vectors are in the same direction, A→−B→ will be minimum. The minimum of A→−B→ is given by,

(A→−B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)max.

(A→−B→)max=(12 m)−(−17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)min.

(A→−B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 1, Problem 74P

(a)

To determine

The maximum and minimum of A→+B→.

(a)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→+B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the same direction, A→+B→ will be maximum. The maximum of A→+B→ is given by,

(A→+B→)max=|A→|+|B→|

When the two vectors are in the opposite direction, A→+B→ will be minimum. The minimum of A→+B→ is given by,

(A→+B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)max.

(A→+B→)max=(12 m)+(17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)min.

(A→+B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→+B→ are 29 m and 5 m respectively.

(b)

To determine

The maximum and minimum of A→−B→.

(b)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the opposite direction, A→−B→ will be maximum. The maximum of A→−B→ is given by,

(A→−B→)max=|A→|−(−|B→|)=|A→|+|B→|

When the two vectors are in the same direction, A→−B→ will be minimum. The minimum of A→−B→ is given by,

(A→−B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)max.

(A→−B→)max=(12 m)−(−17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)min.

(A→−B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 1, Problem 74P

(a)

To determine

The maximum and minimum of A→+B→.

(a)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→+B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the same direction, A→+B→ will be maximum. The maximum of A→+B→ is given by,

(A→+B→)max=|A→|+|B→|

When the two vectors are in the opposite direction, A→+B→ will be minimum. The minimum of A→+B→ is given by,

(A→+B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)max.

(A→+B→)max=(12 m)+(17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)min.

(A→+B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→+B→ are 29 m and 5 m respectively.

(b)

To determine

The maximum and minimum of A→−B→.

(b)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the opposite direction, A→−B→ will be maximum. The maximum of A→−B→ is given by,

(A→−B→)max=|A→|−(−|B→|)=|A→|+|B→|

When the two vectors are in the same direction, A→−B→ will be minimum. The minimum of A→−B→ is given by,

(A→−B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)max.

(A→−B→)max=(12 m)−(−17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)min.

(A→−B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 1, Problem 74P

(a)

To determine

The maximum and minimum of A→+B→.

(a)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→+B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the same direction, A→+B→ will be maximum. The maximum of A→+B→ is given by,

(A→+B→)max=|A→|+|B→|

When the two vectors are in the opposite direction, A→+B→ will be minimum. The minimum of A→+B→ is given by,

(A→+B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)max.

(A→+B→)max=(12 m)+(17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)min.

(A→+B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→+B→ are 29 m and 5 m respectively.

(b)

To determine

The maximum and minimum of A→−B→.

(b)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the opposite direction, A→−B→ will be maximum. The maximum of A→−B→ is given by,

(A→−B→)max=|A→|−(−|B→|)=|A→|+|B→|

When the two vectors are in the same direction, A→−B→ will be minimum. The minimum of A→−B→ is given by,

(A→−B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)max.

(A→−B→)max=(12 m)−(−17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)min.

(A→−B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Answer 6

Chapter 1, Problem 74P

(a)

To determine

The maximum and minimum of A→+B→.

(a)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→+B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the same direction, A→+B→ will be maximum. The maximum of A→+B→ is given by,

(A→+B→)max=|A→|+|B→|

When the two vectors are in the opposite direction, A→+B→ will be minimum. The minimum of A→+B→ is given by,

(A→+B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)max.

(A→+B→)max=(12 m)+(17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)min.

(A→+B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→+B→ are 29 m and 5 m respectively.

Answer 7

Chapter 1, Problem 74P

(a)

To determine

The maximum and minimum of A→+B→.

Answer 8

(a)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→+B→ are 29 m and 5 m respectively.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

When the two vectors are in the same direction, A→+B→ will be maximum. The maximum of A→+B→ is given by,

(A→+B→)max=|A→|+|B→|

When the two vectors are in the opposite direction, A→+B→ will be minimum. The minimum of A→+B→ is given by,

(A→+B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)max.

(A→+B→)max=(12 m)+(17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)min.

(A→+B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→+B→ are 29 m and 5 m respectively.

Answer 13

(b)

To determine

The maximum and minimum of A→−B→.

(b)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the opposite direction, A→−B→ will be maximum. The maximum of A→−B→ is given by,

(A→−B→)max=|A→|−(−|B→|)=|A→|+|B→|

When the two vectors are in the same direction, A→−B→ will be minimum. The minimum of A→−B→ is given by,

(A→−B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)max.

(A→−B→)max=(12 m)−(−17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)min.

(A→−B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Answer 14

(b)

To determine

The maximum and minimum of A→−B→.

Answer 15

(b)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

When the two vectors are in the opposite direction, A→−B→ will be maximum. The maximum of A→−B→ is given by,

(A→−B→)max=|A→|−(−|B→|)=|A→|+|B→|

When the two vectors are in the same direction, A→−B→ will be minimum. The minimum of A→−B→ is given by,

(A→−B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)max.

(A→−B→)max=(12 m)−(−17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)min.

(A→−B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Answer 20

Ch. 1.3 - Give the number of significant figures for all the...Ch. 1.4 - Prob. 1.2CC Ch. 1.5 - The area of a surface can be measured in units of...Ch. 1 - Suppose a friend told you that the density of a...Ch. 1 - Prob. 2Q Ch. 1 - Prob. 3Q Ch. 1 - Prob. 4Q Ch. 1 - Prob. 5Q Ch. 1 - Prob. 6Q Ch. 1 - Prob. 7Q

The maximum and minimum of A → + B → .

Concept explainers

Videos

The maximum and minimum of A→+B→.

Answer to Problem 74P

Explanation of Solution

The maximum and minimum of A→−B→.

Answer to Problem 74P

Explanation of Solution

Want to see more full solutions like this?

Chapter 1 Solutions