[" e) Find the nom of a vector "u=(2,-3,6)" and "],[" normalize this vector."]

A unit vector parallel to vector vecV=(2,-3,6) is vector

Find the vector and cartesian equation of the plane through the point whose position vector is 2hati-3hatj+hatk and normal to the vector 3hati-2hatj-hatk .

The coordinates of the initial point of a vector are (2,3) and those of the terminal point are (10,6).Find the magnitude and direction of the vector.

Find the vector and Cartesian equations of the plane passing through the point with position vector 4hatî +2hatj-3hatk and normal to vector 2hati-hatj+hatk .

Find the vector and cartesian equations of the planes (a) that passes through the point (1,0,-2) and the normal to the plane is (b) that passes through the point (1,4,6) and the normal vector to the plane is the normal vector to the plane is the normal vector to the plane is hat i-2hat j-hat k

The angle between two vectors vec(u) and vec(v) is 60^(@) .Find (i) the scalar product of the two vectors and (ii) the vector product of the two vectors , if vec(u) =7 units , vec (v) = 14 units ?

Find a normal vector to the plane x+2y+3z-6=0

Find a normal vector to the plane x+2y+3z-6=0