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Write the unit vectors parallel to the v...

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

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Write the vector equation of a line through the point (1,2,3) and parallel to the vector 3overset^i+2overset^j-2overset^k

Find the scalar components of the unit vector which is perpendicular to the vectors overset^i+2overset^j-overset^k and 3overset^i-overset^j+2overset^k .

What is the unit vector perpendlcular to each of the vectors overset^i+overset^j,overset^j+overset^k ?

Find the equation of a plane which is at a distance 3 units from the origin and which is normal to the vector 2overset^i+3overset^j-6overset^k .

Find the components of the unit vector perpendicular to the plane r^rarr(2overset^i+3overset^j-6overset^k)-6=0

What is the value of x of the vectors 3overset^i-7overset^j-4overset^k,3overset^i-2overset^j+overset^k and overset^i+overset^j+xoverset^k

Find a vector in the direction of the vector oversetrarra=5overset^i-overset^j+2overset^k which has magnitude 8 units.

What is the vector projection (component) of the vector oversetrarra=2overset^i+overset^j-overset^k on oversetrarrb=overset^i+2overset^j+overset^k

If the position vectors of two points A ans B are 3overset^i+2overset^j+overset^k and 2overset^i-5overset^j+4overset^k respectively, what is the magnitude of oversetrarr(AB) ?

What is the area of the parallelogram whose sides are vectors 2overset^i+overset^j and 2overset^j+overset^k ?

MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Given position vectors of P and Q, as (1,0,-2) and (3,-2,0) respective...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If |oversetrarra|=10,|oversetrarrb|=1 and oversetrarra.oversetrarrb=0...

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  17. If oversetrarra.oversetrarrb=0 and oversetrarraxx(oversetrarrbxxover...

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  18. If two vectors oversetrarra and oversetrarrb are such that |oversetrar...

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  19. If [oversetrarraoversetrarrboversetrarrc]=10, what is the value of [ov...

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  20. If oversetrarra=4overset^i+noverset^j+3overset^k|oversetrarra|=13, wha...

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