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Write the values of a and b, for which t...

Write the values of a and b, for which the vectors `(a-1)hat(i) + (b+2)hat(j) + 4hat(k)` and `(a+1)hat(i) + (b-2)hat(j) + 8hat(k)` will be parallel.

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USHA PUBLICATION-VECTORS THREE DIMENSIONAL GEOMETRY -EXERCISE
  1. Write the values of a and b, for which the vectors (a-1)hat(i) + (b+2)...

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  2. Find the value of 'a' do the which the pointA,B,C with position vector...

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  3. find the unit vector in the direction of 'PQ' where P and Q are the po...

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

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  5. If vec(OP1)=4hati+3hatj and vec(OP2)=8hati-5hatj find vec(p1p2)

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

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

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

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

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  10. Find veca*(vecaxxvecb).

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  11. Find veci*(veckxxvecj)

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  12. Find veci*(vecjxxveck)

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

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

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

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

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

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

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

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

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