Given the following vectors: A = 80.0 N 25.00 south of east, B = 100. N 82.00 north of east                                                 C = 40.0 N 45.00 south of west D = 60.0 N 30.00 north of west                                                 E = 50.0 N east                            F = 50.0 N north                 Evaluate the following vector expressions graphically and analytically a) A + B + C + D + E + F b) 2A - 3B - ½C + D + 3E - F

Q: For A= 1 + 2ĵ-K, B = -21 + 2ĵ+ 4k, and C = 23 - 2k, find C. (A - B). Be careful when subtracting…

A: Given data:  Three vectors  A = i + 2j - k B = -2i + 2j + 4k C = 2j - 2k

Q: 27 - An athlete runs in a parking lot with coordinate axes drawn. The coordinates of the athlete's…

A:

Q: north; 30 mm west; 40 mm at 60° west of north; 50 mm at 30° west of south as shown in Fig (1). Solve…

A: The component resolution of the four-vector is drawn below:-

Q: 3. Determine the components of the vector 2.50 m [N 38.0° W]. 4. A student walks 25.0 m [E 30.0° N].…

A:

Q: oordinate system. Their 3, | B| = 5, and | C| = 9 %3D ector form, i.e. A = A¸ î

A:

Q: Using triangle method, determine the resultant of vectors:                     A = 15 unit  20o S…

A: Resultant R = (A2 +B2 +2AB Cosθ)1/2

Q: A = 4î + 7) B = 51 – 23 + k C = -î+ 3j+ 2k a) Find the magnitude of yector B. b) Write an expression…

A: Given A̅ = 4î + 7ĵ  B̅ = 5î - 2ĵ +k̂  C̅  = - î + 3 ĵ + 2k̂

Q: Construct two unit vectors that are perpendicular to A and that have no y-component. Enter the z, y,…

A:

Q: A vector has an x component of -2 and a y component of 2, find its magnitude? O A. 2√2 OB. 1 OC. 2 O…

A: Given, X- component of vector is -2  And  Y- component of vector is 2

Q: In the sketches, two parallel wires have the same magnitude of current. Dot and cross inside the…

A:

Q: R=A-B+C+3D = ? D R Which of the following is the coordinate for the resultant vector a. -2, 2 X b.0,…

A: The given vectors can be written in the coordinate form as follows : A = (-2,2) B = (2,1) C =…

Q: Which of these four vectors has a negative y-component and a positive x-component? Vector B Vector A…

A: Given data:  Four vectors lies in four quadrants Required: The vector which has negative y-component…

Q: x-component 7a In the sketch below, a) What is the x-component of vector B? b) What is the…

A:

Q: For A = x ax + y ay +z az and B= 2x ax + 3y ay + 3z az. Find the followingat (2,2,1). a) C = AXB b)…

A: Given that, A→=xa^x+ya^y+za^zB→=2xa^x+3ya^y+3za^z At (2,2,1), we have to find  C→=A→×B→ A→×B→ and…

Q: V₂ = 12 units 60° y V₁ = 10 units PROBLEM 1/2 3 - X M 1 SS For the given vectors V₁ and V₂ of Prob.…

A: Graphical Solution:    The graphical solution has been shown below:  The horizontal scale is 2 unit…

Q: Vector A has a magnitude of 36.0 units and it points in a direction 310° counterclockwise from the…

A:

Q: B. Plot That Vector Directions: Using the head to tail diagram method, plot the following vector to…

A: We will need the following formula to get the resultant vector from a succession of vectors.…

Q: If a resultant vector has an x-component of -43cm and a y-component of 34cm, what is the direction…

A:

Q: Three vectors in the plane are A = lî + 3) B = -2î + 5) C= 4î - 1 Find vector such that A - B+ C + D…

A: Answer:- Given  Vector    A = 1i + 3j  Vector B = - 2i + 5j  Vector C = 4i - 7 j  Vector D = ?  A -…

Q: A=4i-7j B=67-1j Ĉ= -91 + 5j Complete each vector sum. A+B+C = A-B+C = 1 î+ 2 + 7 A+B-C- A - B - C =…

A:

Q: For A= î + 2j - k, B = -21 + 2j + 4k, and C = 2) - 2k, find C . (A - B).

A:

Q: What happens when you multiply a vector by -1? O It gets flipped over. O It gets rotated clockwise…

A: (1) Let a vector A→=ai^+bj^+ck^. If we multiply this vector by -1 it becomes…

Q: Question 9 Assume these three vectors are acting on an object. 1. magnitude = 50, 0 = 300° 2.…

A: Draw the schematic diagram of the vectors.

Q: A) Write the vector form of D, E, and F. B) Find F x D · E 7 in E 15 in 12 in F 10 in

A: position coordinates:a: 0,10,0F:12,10,0c:0,0,15g0,0,15e12,0,0

Q: Consider the equation. A = 2.5x – 3.5ŷ %3D Find the magnitude of the vector Á1. Suppose A, is…

A:

Q: Ā = 2i – 5j + k B = 3i + 4k C = 2i – j+ 2k Find: a) The magnitude and direction of R = Ã+ B + C

A: a) R→=A→+B→+C→=(2i^-5j^+k^)+(3i^+4k^)+(2i^-j^+2k^)=2i^-5j^+k^+3i^+4k^+2i^-j^+2k^=7i^-6j^+7k^…

Q: Q3) Three displacements are A=200 m, due south; B=250 m, due west; C-150 m, 30.0° east of north.…

A: A vector quantity is having both magnitude and direction. Velocity, acceleration, momentum, force,…

Q: The magnitudes of the four displacement vectors shown in the drawing are A =15.0 m, B =11.0 m, C =…

A: Solution: Given that A = 15 m B = 11 m C = 12 m D = 26 m

Q: Find the x- and y-components of the following vectors a) r= 175 meters @ 95° b) v = 25 m/s @-78° c)…

A: The given resultant position,   The angle,

Q: Can a vector have a component equal to zero and still have nonzero magnitude? Explain. Can a vector…

A:

Q: What are the components of the following vector? R= 300.0 N @ 20.0 degrees above the negative x-…

A: If a vector R makes an angle θ with negative X-axis Then from trignometry , X-component=RCosθ…

Q: If A= i + 6j +k , B = i + 2j - k and C= A +B . find the following : 1-The value and direction of C…

A: SOlution: given that A= i + 6j +k B = i + 2j - k C= A +B

Q: Three displacement vectors are:A = 35.0 m @ 30.0o above the + x-axisB = 27.5 m @ 30.0o to the left…

A: The Figure shows the displacement vectors A, B, and C and their respective angles with x and y axis…

Q: Your friend ask you to go to mall to buy fruits. To head to the store from your house, you walked…

A: Given First displacement = 5.00 km south Second displacement = 3.00 km 60° north of east.  We have…

Q: A=7i and B=-3j suppose that vector p=a+b and that vector q=b-2a write p and q in component notation

A: Given- A= 7i B= -3j   Vector p can be written as                                              p = a+…

Q: Two vectors are given by Ä = (3î +4ĵ)m, and B=(-3î +4ĵ)m. a) Find the magnitude of A b) Find the…

A: Given data:  Two vectors A and B

Q: Q2) For the vector A=î+2ŷ – 2 B=- î + ŷ + î C=î- ŷ +22 Compute AxČ.B =

A: Formula of scalar triple product of given vectors is as follows: A→×C→·B→=AxAyAzCxCyCzBxByBz…

Q: Which of the following is not a possible negative of vector that has a magnitude of 15 m/s and a…

A: Given , a vector that has a magnitude of 15 m/s and a direction of 15° NE A negative of vector means…

Q: direction. Vectors A and B both have positive y- components, and make angles of a = 43.9° and B =…

A: Hence the answer..

Q: Determine a vector C that is orthogonal to  both vector A=2i-j+3k and vector B=4i+2j-k

A: C is orthogonal to A and B.

Q: H 3. Is it possible for two vectors, A and B, of unequal magnitudes to have a resultant with a…

A: Resultant of two vectors A→ and B→ is given by   R=A2+B2+2ABcosθ  Where θ is angle A→ and B→ Clearly…

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.