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If vec(a), vec(b) are collinear, then wh...

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

A

`vec(a) xx vec(b)= vec(0)`

B

`vec(a).vec(b) = +-|vec(a)||vec(b)|`

C

`vec(a) xx vec(b)= 0`

D

`vec(a) = t vec(b)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-VECTOR (CROSS) PRODUCT OF TWO VECTORS-Exercise-I
  1. If vec(a)= 2vec(i)-vec(j) +vec(k), vec(b)= 3vec(i) + 4vec(j) -vec(k), ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. If a,b,c are unit vectors satisfying the relation a + b+sqrt(3) c = 0,...

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