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Find the magnitude: 5/2 and is parallel ...

Find the magnitude: `5/2` and is parallel to the vector` 3hati+4hatj`.

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What is the equation of the line passing through the point (1,2,3)and parallel to the vector 3hati+2hatj-2hatk

Find a vector of magnitude 5 units and parallel to the resultant of veca = 2hati +3hatj -hatk and vecb = hati -2hatj+ hatk .

Find the area of the parallelogram formed by the vectors vecP=3hati-4hatj+2hatk and Q= hati+hatj-2hatk as adjacent sides hence find the area of triangle formed by vecP and vecQ .

Find the unit vector parallel to the sum of the vectors veca = 2hati+4hatj-5hatk and vecb = hati+2hatj+3hatk. Also find its direction cosines.

Find the unit vectors perpendicular to the vectors. 2hati-3hatj+hatk , -hati+2hatj-hatk .

Find the unit vectors perpendicular to the vectors. 2hati+3hatk , hati-2hatj

Find the unit vectors perpendicular to the vectors. hati+hatj , hati-hatk

Find the scalar and vector projections of the vector 2hati-3hatj-6hatk on the line joining the points (3,4,-2) and (5,6,-3).

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USHA PUBLICATION-VECTORS THREE DIMENSIONAL GEOMETRY -EXERCISE
  1. If vec(OP1)=4hati+3hatj and vec(OP2)=8hati-5hatj find vec(p1p2)

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  2. If A, B, C and D are the vertices of a square, find vec(AB) + vec(BC)+...

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  3. Find the magnitude: 5/2 and is parallel to the vector 3hati+4hatj.

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  4. Find the vector from the origin O to the centroid of the triangle whos...

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  5. If G is centroid of the triangle ABC,then find vec(GA)+vec(GB)+vec(GC)...

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  6. Find veca*(vecaxxvecb).

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  7. Find veci*(veckxxvecj)

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  8. Find veci*(vecjxxveck)

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  9. find the position vector of the mid point of the vector joining the p...

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  10. Evaluate:hatixx(hatjxxhatk)+hatjxx(hatkxxhati)+hatkxx(hatixxhatj)

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  11. Using vector method find the area of the triangle with vertices (1, 0,...

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  12. What is the distance of the point (4, 5, -3) from y-axis ?

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  13. What is the distance of point (1,2,3,)from yz-plane?

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  14. What is the distance of the point (x, y, z) from x-axis?

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  15. Find the image of the point (5,3,-2)w.r.t yz-plane.

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  16. Find the number of points (x, y, z) in space other than the point (1,-...

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  17. Find the ratio in which the line segment through (1,3,-1) and (2,6,-2)...

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  18. Write the value of y so that the points (1,y,2),(3,2,-1) and (-4,6,3) ...

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  19. If O be the origin and P is the point (3,4,5),what are the direction c...

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  20. If a line makes angles alpha, beta  and gamma  with the positive direc...

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