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If vec(a)= 2vec(i) -vec(j) + 3vec(k), ve...

If `vec(a)= 2vec(i) -vec(j) + 3vec(k), vec(b)= p vec(i) + vec(j) + q vec(k) and vec(b) xx vec(a) = vec(0)`, then

A

(p, q)= (2, 3)

B

(p, q)= `(-2, -3)`

C

(p, q)= (1, 2)

D

(p, q)= `(-1, -2)`

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The correct Answer is:
B
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AAKASH SERIES-VECTOR (CROSS) PRODUCT OF TWO VECTORS-Exercise-I
  1. If 13 vec(a)= 3vec(i) + 4vec(j)+ 12vec(k), 13vec(b)= 4vec(i)-12vec(j) ...

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  2. If vec(a)= 2vec(i)-vec(j) +vec(k), vec(b)= 3vec(i) + 4vec(j) -vec(k), ...

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  3. If vec(a)= 2vec(i) -vec(j) + 3vec(k), vec(b)= p vec(i) + vec(j) + q ve...

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  4. If vec(a)= 3 vec(i)- vec(j)-2vec(k), vec(b)= 2vec(i) + 3vec(j) + vec(k...

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  5. If (vec(a), vec(b))= pi, then |4vec(a) xx 5vec(b) + vec(b) xx vec(a)|=

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  6. If |vec(a)|=2, |vec(b)|=4, then (|vec(a) xx vec(b)|^(2))/(1-cos^(2)(ve...

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  7. If theta is th angle between the vector 2i - 2j + 4k and 3i + j + 2k, ...

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  8. If a and b are unit vectors and a xx b = 1, then the angle between a a...

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  9. If vec(a), vec(b) are collinear, then which of the following is false?

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  10. If |vec(a) xx vec(b)|=6, |vec(a)|=6, (vec(a), vec(b))= (pi)/(3), then ...

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  11. A unit vector perpendicular to 2vec(i) + 3vec(j) + 4vec(k) and 3vec(j)...

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  12. If vec(a)= vec(i) + vec(j) + vec(k), vec(b)= -vec(i) + 2vec(j) + vec(k...

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  13. Any vector which is perpendicular to each of the vectors 2vec(i) + vec...

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  14. The area of the triangle formed by thepoints whose position vectors ar...

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  15. The vector area of the triangle formed by the points vec(i) -vec(j) + ...

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  16. If the area of the parallelogram whose adjacent sides are 3 vec(i) - 4...

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  17. The area of the parallelogram whose adjacent sides are 3vec(i) + 2vec(...

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  18. The vector area of the parallelogram whose diagonals are vec(i) + 2vec...

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  19. Two diagonals of a parallelogram are vec(i) + 2vec(j) + 3vec(k) and -2...

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  20. a, b, c are three vectors such that |a| = 1, |b| = 2, |c| = 3 and b, c...

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