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Find veca*(vecaxxvecb)....

Find `veca*(vecaxxvecb).`

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Find veca. (vecb xx vecc) if veca=2hati + hatj + 3hatk , vecb= -hati + 2hatj + hatk and vecc = 3hati + hatj + 2hatk .

If veca=vecb+vecc, then write the value of veca*(vecbxxvecc).

Let veca = 2hati+hatj, vecb = -hati+3hatj+hatk and vecc = hati+2hatj+5hatk be three vectors. Find (veca-vecb)xx(vecc-veca)

If veca, vecb, vecc be unit vectors and vecaxx(vecbxxvecc) = 1/2hatb , find the angles that veca makes with hatb and hatc , where hatb,hatc are not parallel.

if vec = 2hati+hatj-hatk, vecb = -hati+2hatj-4hatk, vecc = hati+hatj+hatk , find (vecaxxvecb).(vecaxxvecc) .

Let veca = 2hati+hatj, vecb = -hati+3hatj+hatk and vecc = hati+2hatj+5hatk be three vectors. Find (veca-2vecb)xxvecc

Let veca = 2hati+hatj, vecb = -hati+3hatj+hatk and vecc = -hati+2hatj+5hatk be three vectors. Find (veca-vecc)xxvecc

Find the angle between veca and vecb if |vecaxxvecb| = veca.vecb

Show that (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb) . Interpret this result geometrically.

Obtain the volume of the parallelopiped whose sides are vectors veca=2hati-3hatj+4hatk,vecb= hati+2hatj-hatk,vecc= 3hati-hatj+2hatk . Also find the vector (vecaxxvecb)xxvecc .

USHA PUBLICATION-VECTORS THREE DIMENSIONAL GEOMETRY -EXERCISE
  1. Find the vector from the origin O to the centroid of the triangle whos...

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

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  3. Find veca*(vecaxxvecb).

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  4. Find veci*(veckxxvecj)

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  5. Find veci*(vecjxxveck)

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If the d.cs of a straight line be << 2/7 , 3/7, k/7 >>, then what is t...

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  19. Fill in the blanks in the length of the projection of the line segment...

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  20. The projection of a line segment axes are 3,4,12.Find the length and d...

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