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If the vectors vec(P) = a hat(i) + a hat...

If the vectors `vec(P) = a hat(i) + a hat(j) + 3 hat(k) and vec(Q) = a hat(i) - 2hat(j) - hat(k)` are perpendicular to each other then the positive value of .a. is

A

zero

B

1

C

2

D

3

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The correct Answer is:
D
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AAKASH SERIES-VECTORS-Practice Sheet (Exercise-III) (Multiplication of Vectors (Level-I)) (Straight Objective Type Questions)
  1. If alpha, beta and gamma are the angles made by a vector with X, Y and...

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  2. If P = 2i + 3j - 4k and Q = 5i + 2j + 4k find the angle between the t...

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  3. If the vectors vec(P) = a hat(i) + a hat(j) + 3 hat(k) and vec(Q) = a ...

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  4. The angle between the vectors (i + j + k) and (i- j - k) is

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  5. If (vec(A) + vec(B)) is perpendicular to vec(B) and (vec(A) + 2 vec(B)...

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  6. vec(A) + vec(B) = 2hat(i) and vec(A) - vec(B) = 4 hat(i) then angle b...

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  7. If the vectors 2 hat(i) + 3hat(j) + c hat(k) and -3i + 6k are orthogon...

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  8. If vec(A) = 2i + 3j and vec(B) =2 j + 3k the component of vec(B) along...

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  9. The component of vec(A) along vec(B) is sqrt3 times that of the compon...

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  10. The projection of a vector vec(r ) = 3 hat(i) + hat(j ) + 2 hat(k) on ...

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  11. Find the component (projection) of (-I + j) in the direction of i

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  12. Projection of the vector 2 hat(i) + 3hat(j) + 2hat(k) on the vector ha...

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  13. If vec(a) = 2 hat(i) + 3hat(j) + 6hat(k) and vec(b) = 3hat(i) + 4hat(j...

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  14. A force of 2i + 3j + 2k N acts a body for 4s and produces a displaceme...

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  15. When a force (8i + 4j) newton displace a particle through (3i- 3j) met...

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  16. The cross product of the vectors (2i - 3j + 4k) and (I + 4j -5k) is

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  17. The scalar and vector products of two vectors are 48sqrt(3) and 144 re...

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  18. What is the condition for the vectors 2i + 3j - 4k and 3i - aj + bk to...

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  19. a, b are the magntidues of vectors vec(a) " & " vec(b). If vec(a) xx ...

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  20. If |vec(A)| = 4N, |vec(B)| = 3N the value of |vec(A) xx vec(B)|^(2) + ...

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