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If `vecA` and `vecB` are perpendicular vectors and vector `vecA=5hati+7hatj-3hatk` and `vecB=2hati+2hatj-ahatk`. The value of `a` is

A

-2

B

8

C

-7

D

-8

Text Solution

Verified by Experts

The correct Answer is:
D
Scalar product of prependicular vectors is zero , i.e.,
`vecA. vecB = A_(x)B_(x) + A_(y)B_(y) + A_(z) + B_(z)= 0, i.e., 10 + 14 + 3c = 0 or c= - 8`
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GRB PUBLICATION-VECTORS-OBJECTIVE QUESTIONS
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  2. The angle made by the vector vecA=2hati+3hatj with Y-axis is

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  3. If vecA and vecB are perpendicular vectors and vector vecA=5hati+7hatj...

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  8. A vector vecF(1) is along the positive X-axis. If its vectors product ...

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  9. The torque of the force vecF=(2hati-3hatj+4hatk)N acting at the point ...

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  10. The position vector of a particle is r = a sin omega t hati +a cos ome...

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  11. The angle made by the vector 4hati - 3hatj + 5hatk with z-axis is :

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  12. Three vectors veca,vecb and vecc satisfy the relation veca.vecb=0 and ...

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  13. The resultant of two forces , one double the other in magnitude is pe...

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  14. The value of n so that vectors 2hati+3hatj-2hatk, 5hati+nhatj+hatk and...

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  15. A projectile of mass m is fired with a velocity v from point P at an a...

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  17. Two forces of magnitudes 30, 60 and P newton acting at a point a...

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  18. A force F=ahati+bhatj+chatk is acted upon a body of mass m. If the bod...

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  19. Let vecF be a force acting on a particle having positon vector vecr. L...

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  20. If |vecA xx vecB| = sqrt(3) vecA .vecB then the value of |vecA xx ve...

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