In the Argand plane, the vector z = 4 - 3i is turned in the clockwise sense through `180^(@)` and stretched 3 times. The complex number represented by new vector is

write the additive inverse of the complex number 4-3i

Let P be a point represented by the complex number Z. Rotate OP (O is the origin) through pi//2 in the anti clockwise direction, the new position of the complex number is represented by

The angle between the vectors 2i - 3j + k and 4i+ j-2k is given by

Find the vector equation of the line passing through the point (-1, 0,2) and (3,4,6)

Find the vector equation of the line, passing through the points (-1,0,2) and (3,4,6)

The direction cosines of the vector, 3i-4j+5k are

Represent the complex number Z = 1 = isqrt(3) in the polar form .

Equation of the plane passing through (2,3,4) and parallel to the plane 5x-6y+7z=3 is

Express in the form of complex number z= (5-3i)(2+i)