Vector Algebra

Scalar (or Dot) product of two vectors always give a scalar quantity (or number)

Cross product of two vector always gives scalar quantity

Dot Product of the vectors i - 2j + 3k and 3i - 2j + k is

. $$find\ the\ magnitude\ of\ \ 2i\ +3j-\sqrt{3}k$$  

$$Find\ the\ angle\ between\ the\ vectors\ i-j+k\ and\ -i+j+2k$$  

$$Find\ the\ direction\ \cos ine\ of\ \ 3i-2j+3k$$  Fin

Given points A(3, 2, -4) and B(2, 1, -1), so the vector AB is

$$\cdot$$  the projection of line joining (1,-2.-1) to (3,1,1) on the vector  $$4i-3j+12k$$  

  A unit vector in the direction of the vector $$\overrightarrow{a\ }\ =\ 2î-3ĵ+6k̂$$ is

$$What\ is\ the\ angle\ which\ the\ vector\ (î+ĵ+\sqrt{2}k̂)\ makes\ with\ the\ z-axis?$$