A line passes through the point with position vector `2hati-hatj+3hatk` and is in the direction of `hati+hatj-2hatk`. Find the equation of the line in vector and Cartesian forms.

Find the equation of a line passes through the points whose position vectors are (hati+4hatj+hatk) and (2hati-hatj+5hatk) .

A line passes through the points whose position vectors are hati+hatj-2hatk and hati-3hatj+hatk . The position vector of a point on it at unit distance from the first point is

The projection of vector veca=2hati+3hatj+2hatk , on the vector vecb=hati+2hatj+hatk is

Find the vector equation of a line passing thorugh a point with position vector 2hati-2hatj+hatk and parallel to the line joining the point with the position vectors -hati+3hatj+hatk and 2hati+hatj+3hatk . Also find the Cartesian equation of this line.

A line passes through the points whose position vectors are hati+hatj-2hatk and hati-3hatj+hatk . The position vector of a point on it at unit distance from the first point is (A) (1)/(5)(5hati+hatj-7hatk) (B) (1)/(5)(5hati+9hatj-13hatk) (C) (hati-4hatj+3hatk) (D) (1)/(5)(hati-4hatj+3hatk)

What is the vector equation of line through the points with position vectors hati+hatj+2hatk and 2hati+hatk .

Find the vector equation of a lin e passes through the point whose position vector is (2hati-hatj-hatk) and parallel to vector hati+5hatk .

Find the image of the point having position vector hati + 3hatj + 4hatk in the planer. vecr.(2hati – hatj+ hatk) + 3 = 0

Find the image of a point having position vector, 3hati-2hatj+hatk in the plane vecr.(3hati-hatj+4hatk)=2

Find the projection of the vector veca=3hati+2hatj-4hatk on the vector vecb=hati+2hatj+hatk .