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Given : vec A = hati + hatj +hatk and...

Given :
`vec A = hati + hatj +hatk and vec B =-hati-hatj-hatk` What is the angle between `(vec A - vec B) and vec A` ?

A

`0^(@)`

B

`75^(@)`

C

`90^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
`vec A - vec B =(hati + hatj+hatk) -(-hati-hatj-hatk)`
`=2(hati+hatj+hatk )=2vecA`
Thus `(vec A - vec B) and vec A` are parallel.
`therefore` The angle between them is zero.
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MARVEL PUBLICATION-VECTORS-MULTIPLE CHOICE QUESTIONS (STANDARD LEVEL)
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  2. If hatn is a unit vector in the direction of the vector vecA, them ...

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  3. Given : vec A = hati + hatj +hatk and vec B =-hati-hatj-hatk What i...

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  4. Three vector vec(A),vec(B), vec(C ) satisfy the relation vec(A)*vec(B)...

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  5. The work done by a force is defined by W= vec F cdot vec S cdot It is ...

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  6. A particle has a displacement of vecs=hati+2hatj+hatk metre under the ...

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  7. The angle between two vectors vec P and vec Q of magnitudes 3 and 5 un...

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  8. The vector projection of a vector 3hat(i)+4hat(k) on y-axis is

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  9. Given : vec A =2hati +3hatj and vec B = hati +hatj. What is the compon...

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  10. A particle moves with a velocity v=(5hati-3hatj + 6hatk) ms^(-1) under...

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  11. The conditions under which the vector vec P + vec Q and vec P - vec Q ...

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  12. Work done by a force in displacing a body is an example of

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  13. What is the angle between two vectors vec P =2hati +3hatj +hatk and ve...

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  14. A student was asked to find the work done by taking the dot product of...

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  15. What is the angle between two vectors vec P =2hati +3hatj +hatk and ve...

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  16. If vec P = a(1) hati +a(2) hatj and vec Q =b(1) hati+b(2)hatj are perp...

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  17. If vec A=hati +7hatj +hatk and vec B =2 hati+3hatj +4hatk then the com...

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  18. A body constrained to move in y direction is subjected to a force give...

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  19. The angles between the two vectors vecA=3hati+4hatj+5hatk and vecB=3ha...

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  20. An engine exerts a force F=(20hati-3hatj+5hatk) N and moves with veloc...

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