Explanation 1) Concept: Vector calculation can be used to find the dot product, cross product as well as addition and subtraction between two vectors. Also projection of one vector along another vector. 2) Formulae: i. i ^ j ^ k ^ p q r x y z = i ^ q z - r y - j ^ p z - r x + k ^ p y - q z w h e r e p , q , r , x , y , z a r e n u m b e r s . ii. a → . b → = ( a x b x + a y b y ) iii. a → + b → = a x + b x i ^ + ( a y + b y ) j ^ iv. C o m p o n e n t o f a → a l o n g t h e d i r e c t i o n o f b → = a → . b ^ , w h e r e b ^ = b → b → 3) Given: i. a → = 3.0 i ^ + 5.0 j ^ ii. b → = 2.0 i ^ + ( 4.0 ) j ^ 4) Calculations: Let’s take given vectors a → = 3.0 i ^ + 5.0 j ^ a n d b → = 2.0 i ^ + ( 4.0 ) j ^ a) Calculation for a → × b → i ^ j ^ k ^ 3 5 0 2 4 0 = i ^ 0 - j ^ 0 + k ^ 12 - 10 = 2 k ^ b) Calculation for a →

10th Edition

ISBN: 9781118230725

Author: David Halliday, Robert Resnick, Jearl Walker

Publisher: Wiley, John & Sons, Incorporated

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Question

Chapter 3, Problem 34P

To determine

To find:

a) a→ ×b→

b) a→ .b→

c) (a→+b→) . b→

d) Component of a→ along the direction of b→

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Chapter 3, Problem 33P

Chapter 3, Problem 35P

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Chapter 3 Solutions

Fundamentals of Physics Extended

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Knowledge Booster

a) a → × b → b) a → . b → c) ( a → + b → ) . b → d) Component of a → along the direction of b →

Solution Summary: The author explains how vector calculation can be used to find the dot product, cross product as well as the mathrm.

To find:

a) a→ ×b→

b) a→ .b→

c) (a→+b→) . b→

d) Component of a→ along the direction of b→

Want to see the full answer?

Chapter 3 Solutions

a) a → × b → b) a → . b → c) ( a → + b → ) . b → d) Component of a → along the direction of b →

Solution Summary: The author explains how vector calculation can be used to find the dot product, cross product as well as the mathrm.

To find: a) a→ ×b→ b) a→ .b→ c) (a→+b→) . b→ d) Component of a→ along the direction of b→

Want to see the full answer?

Chapter 3 Solutions

To find:

a) a→ ×b→

b) a→ .b→

c) (a→+b→) . b→

d) Component of a→ along the direction of b→