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If the vectors a^rarr=2overset^j-3overse...

If the vectors `_a^rarr=2overset^j-3overset^k` and `_b^rarr=2overset^j+aoverset^j+6overset^k` are parallel, white the value of `alpha`.

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`|alphaoversetrarra|=2rArr|alpha||oversetrarra|=2rArralpha=_pm(2)/|oversetrarra|`
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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. If one end of a diameter of a sphere x^2+y^2+z^2-4x-2y+2z-30=0 is (4,5...

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  2. Find the equation of the sphere on the join of (2,3,5) and (4,9,-3) as...

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  3. If the vectors a^rarr=2overset^j-3overset^k and b^rarr=2overset^j+aove...

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  4. If |alphaoversetrarra|=2, what is the value of alpha?

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  5. If the position vectors of two points A ans B are 3overset^i+2overset^...

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  6. Given position vectors of P and Q, as (1,0,-2) and (3,-2,0) respective...

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  7. Given co-ordinates of the points A and B as (-1,-2) and (-5,-6) respec...

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  8. Write the unit vectors parallel to the vector 3overset^i+overset^j-2ov...

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  9. Find the direction cosines of the vectors, oversetrarr(r1)-oversetrarr...

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  10. Are the points A (2,6,3), B (1,2,7) and (3,10,-1) collinear?

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  11. What is the angle between the vectors oversetrarra=overset^i+overset^j...

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  12. What is the scalar product of the vectors oversetrarra=2overset^i+over...

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  13. What is the scalar projection of the vector oversetrarra=overset^i+ove...

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  14. What is the vector projection (component) of the vector oversetrarra=...

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  15. What is the unit vector perpendlcular to each of the vectors overset^i...

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  16. What is the area of the parallelogram whose sides are vectors 2overset...

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  17. The area of the triangle with vertices (2,0,0), (0,1,0) and (0,0,3) is...

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  18. If the vectorsoverset^i+2overset^j+overset^k and2overset^i+3overset^j+...

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  19. If the vectors alphaoverset^i+3overset^j+overset^k and 2overset^i+over...

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  20. If oversetrarra=overset^i-2overset^j,oversetrarrb=overset^j+overset^k,...

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