The vector `vecr` is collinear with vector `vecn=2hati+hatj+3hatk` and `vecr.vecn=16` show that `vecr=1/7(16hati+8hatj+24hatk)`

The vector vecr is collinear with vector vecn = 2hati + hatj + 3hatk and vecr.vecn = 16 , show that vec r = 1/7 (16hati + 8hatj + 24hatk)

For any vector vecr = xhati+yhatj+zhatk , prove that vecr = (vecr.hati)hati+(vecr.hatj)hatj+(vecr.hatk)hatk .

The line of intersection of the planes vecr . (3 hati - hatj + hatk) =1 and vecr. (hati+ 4 hatj -2 hatk)=2 is:

Prove that the equaton of a plane through point (2,-4,5) and the line o lintersection of the planes vecr.(2hati+3hatj-hatk) = 1 and vecr.(3hati+hatj-2hatk) = 2 is vecr.(2hati+8hatj+7hatk) = 7 .

Prove that the equaton of a plane through point (2,-4,5) and the line o lintersection of the planes vecr.(2hati+3hatj-4hatk) = 1 and vecr.(3hati+hatj-2hatk) = 2 is vecr.(2hati+8hatj+7hatk) = 7 .

Find the unit vector in the direction of the vector vecr_1-vecr_2 , where vecr_1 = hati+2hatj+hatk and vecr_2 = 3hati+hatj-5hatk .

If vecr*hati=2vecr*hatj=4hatr*hatk and |vecr|=sqrt(84), then the value of vecr*(2hati-3hatj+hatk) may be

If vecr*hati=2vecr*hatj=4hatr*hatk and |vecr|=sqrt(84), then the value of vecr*(2hati-3hatj+hatk) may be