Q22 of 177 Page 24

Write the direction cosines of the vector

The direction cosines of a vector are

In this question, a₁=6, a₂=-2 and a₃=3, Substituting in formulas we get

Write the length (magnitude) of a vector whose projections on the coordinate axes are 12, 3 and 4 units.

Write the position vector of a point dividing the line segment joining points A and B with position vectors externally in the ratio 1 : 4, where and

If write unit vectors parallel to

If write a unit vector along the vector