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If veca=hati+hatj+hatk, vecb=4hati+3hatj...

If `veca=hati+hatj+hatk, vecb=4hati+3hatj+4hatk and vecc=hati+alphahati+betahatk` are linearly dependent vectors and `|vecc|=sqrt3.` then

A

`alpha=1, beta=1`

B

`alpha=2, beta=pm2`

C

`alpha=-2, beta=pm2`

D

`alpha=pm1, beta=1`

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The correct Answer is:
D
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NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
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  2. If the vectors ahat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k), hat(i)+ha...

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  3. If veca=hati+hatj+hatk, vecb=4hati+3hatj+4hatk and vecc=hati+alphahati...

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  14. If the origin and the points P(2, 3, 4), Q(1, 2, 3) and R(x,y, z) are ...

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  17. The position vectors of the point A, B , C and D are 3hat(i)-2hat(j)-h...

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  18. If the points A(2, -1, 0), B(-3, lambda, 4), C(-1, -1, 4), D(0, -5, 2)...

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