The dot product of a vector with the vectors `hat i-3 hatk,hat i-2 hatk` and `hat i+hat j+ 4 hat k` are 0,5,8 respectively. Find the vector.

The dot products of a vector with the vectors hat (i) - 3 hat(k) , hat (i) - 2hat (k) and hat (i) + hat (j)+ 4 hat (j) are 0,5,8 respectively . Find the vector .

Find the angle between the vectors hat i-2 hat j+3 hat k and 3 hat i-2 hat j+ hat kdot

find the angle between the vectors vec a= 3 hat i +2 hat k and vec b = 2 hat i -2 hat j + 4 hat k

Find the angle between the vectors vec a= hat i+hat j-hat k and vec b=hat i-hat j+hat k

if vectors 3 hat i - 2 hat j + m hat k and - 2 hat i+ hat j+4 hat k are perpendicular to each other , find the value of m

The , perpendicular vector on both of (3hat i +hat j + 2hat k) and (2hat i -2hat j +4hat k) is:

The position vectors of the vertices A ,B ,a n dC of a triangle are hat i+ hat j , hat j+ hat ka n d hat i+ hat k , respectively. Find the unit vector hat r lying in the plane of A B C and perpendicular to I A ,w h e r eI is the incentre of the triangle.

The position vector of the points P and Q are 5 hat i+7 hat j-2 hat k and -3 hat i+3 hat j+6 hat k , respectively. Vector vec A=3 hat i- hat j+ hat k passes through point P and vector vec B=-3 hat i+2 hat j+4 hat k passes through point Q . A third vector 2 hat i+7 hat j-5 hat k intersects vectors A and Bdot Find the position vectors of points of intersection.

If the vector ahat i+ a hat j+ c hatk, hat i+hatk and chat i+c hat j+b hat k be coplanar, show that c^2= ab .

A vector of magnitude sqrt(2) coplanar with the vector vec a= hat i+ hat j+2 hat k and vec b= hat i+2 hat j+ hat k , and perpendicular to the vector vec c= hat i+ hat j+ hat k , is a. - hat j+ hat k b. hat i- hat k c. hat i- hat j d. hat i- hat j