R S Aggarwal Solutions for Exercise 1: EXERCISE

Find the direction cosines of a line segment whose direction ratios are:

$2,-1,-2$

Find the direction cosines of a line segment whose direction ratios are:

$–9,6,-2$

Find the direction ratios and the direction cosines of the line segment joining the points:

$A(5,6,-3) \& B(1,-6,3)$

Find the direction ratios and the direction cosines of the line segment joining the points:

$A(-5,7,-9) \& B(-3,4,-6)$

Find the angles made by the following vectors with the coordinate axes:

$(\hat{i}-\hat{j}+\hat{k})$

Find the angles made by the following vectors with the coordinate axes:

 $(\hat{j}-\hat{k})$

Find the angles made by the following vectors with the coordinate axes:

$(\hat{i}-4\hat{j}+8\hat{k})$

Find the coordinates of the foot of the perpendicular drawn from the point$A(1,8,4)$to the line joining the points $B(0,-1,3)$ and $C(2,-3,-1)$.