Find the angle between the planes whose vector equation are given by
`vecr. (2 hati - hatj + 3 hatk) = 4`
and `vecr . (hati - 2 hatj + 4 hatk) =1.`

Find the acute angle between the planes whose vector equations are vecr. (2 hati + 2 hatj - 3 hatk)= 5 and vecr. (3 hati - 3 hatj + 5 hatk) = 3.

Find the angle between the lines, whose direction ratios are 2,3,6 and 1,2,2.

Find | veca xx vecb| where veca = 3 hati - hatj + 2 hatk and vecb = 2 hat i + 3 hatj - 4hatk.

Using vector method find the area of the triangle with two of its adjacent sides given by veca = 4 hati - hatj + 3hatk , vecb = - hati - 2hatj + 4hatk .

What is the angle between vectors veca = hati - hatj + hatk and vecb = hati + hatj - hatk ?

Find the measure of the angle between the vectors 3 hati + 2 hatj + 2hatk and 2 hati - hatj - 2 hatk .

Find the projection of the vector hati + 3hatj + 7 hatk on the vector 7 hati -hatj + 8 hatk .

What is the projection of veca = 2hati - hatj + hatk on vec b = hati - 2hatj +hatk ?

What is unit vector along 2 hati - 3hatj +6 hatk ?