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Let vec(a) = hat(i) - 2hat(j) +3hat(k) ...

Let `vec(a) = hat(i) - 2hat(j) +3hat(k) .` If `vec(b)` is a vector such that `vec(a) . vec(b) = | vec(b)|^(2) and |vec(a) - vec(b)| and | vec(a) - vec(b)| = sqrt(7) ` , then `|vec(b)|` = ______

A

`3 vec a`

B

`vec a`

C

`vec 0`

D

` 2 vec a`

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The correct Answer is:
C
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HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
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  2. If |vec a| = 2, |vec b| = 5 and |vec a xx vec b| = 8 then vec a . vec ...

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  3. Let vec(a) = hat(i) - 2hat(j) +3hat(k) . If vec(b) is a vector such ...

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

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  5. If vec a, vec b, vec c are unit vectors such that vec a + vec b + vec ...

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  6. If |vec a| =4 , |vec b | = 2 and angle between vec a and vec b is pi/6...

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  7. If vec a, vec b, vec c are non coplanar vectors such that, vec b xx ve...

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  8. If vec a, vec b, vec c are three vectors such that vec a . (vec b + ve...

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  10. If vec a = i+j+k, vec a. vec b = 1 and vec a xx vec b = j-k then vec b...

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  11. If vec a = i-j+k and vec b = 2i+j-k then |2 vec a - vec b|=

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  12. Find the area of the parallelogram whose adjacent sides are determined...

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  13. If f(x) is a ploynomial function satisfying f(x) . f(1/x) = f(x) + f(1...

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  14. If vec a and vec b are vectors such that |vec a + vec b| = |vec a - ve...

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

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  17. The number of vectors of unit length perpendicular to the vectors vec ...

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  18. If |vec a| = 4 and -3 le lambda le 2, then the range of |lambda vec a|...

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