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If 2hati+3hatj,hati+hatj+hatk and lambda...

If `2hati+3hatj,hati+hatj+hatk` and `lambdahati+4hatj+2hatk` taken in an order are coterminous edges of a parallelopoped of volume 2 cu units,then value of `lambda` is

A

minus 4

B

2

C

3

D

4

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The correct Answer is:
D
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HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
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  2. If the points with position vectors 10 hati + 3 hatj, 12 hati- 5 hatj ...

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  3. If 2hati+3hatj,hati+hatj+hatk and lambdahati+4hatj+2hatk taken in an o...

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  4. If vec a, vec b and vec c are non coplanar then vec a . { (vec b xx ve...

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  5. Angle between the vectors vec a and vec b, where vec a, vec b and vec ...

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  6. Let vec a = 2i-j+k, vec b = i+2j-k and vec c = i+j-2k be three vector...

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  7. The vector 1/3 (2i-2j+k) is

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  8. If vec a, vec b and vec c are non coplanar unit vectors such that vec ...

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  9. Let alpha, beta, gamma are distinct real numbers. The points with posi...

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  10. A non-zero vector vec a is parallel to the line of intersection of the...

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  11. The number of distinct real values of lambda for which the vectors -la...

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  12. Let vec a, vec b, vec c be unit vectors such that vec a + vec b + vec ...

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  13. Let vec a = i+2j+k, vec b = i-j+k, vec c = i+j-k. A vector coplanar to...

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  14. Let vec u, vec nu and vec w vectors that vec u + vec nu + vec w = vec ...

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  15. The values of 'a' for which the points A, B, C with position vectors 2...

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  16. If the vector veca = hati + ahatj + a^(2) hatk , vecb = hati + b hatj ...

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  17. If vec a, vec b, vec c are non-coplanar vectors and lambda is a real n...

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  18. Let vec a = i +j + k, vec b = i-j+2k, vec c = x i+(x-2)j-k. If the vec...

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  19. The non-zero vectors vec b and vec c are related by vec a = 8 vec b an...

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  20. The vectors vec a = alpha i +2j+betak lies in the plane of the vectors...

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