If a line has direction ratios 2,-1,-2 determines its direction cosines .

If a line has the direction ratios -18,12,-4 , then what are its direction cosines ?

Consider the vector vec a = hat i + hat j - 2hat k (i) Write the direction ratios of vec a (ii) Hence find the direction cosines of veca .

The direction ratios of a line are 1,-2,5 , find the direction cosines of the line.

If a line makes angles 90^@,60^@ and 30^@ with the positive direction of x,y and z axis respectively. Find its directions cosines .

A line with direction ratio (2,1,2) intersects the lines vecr=-hatj+lambda(hati+hatj+hatk) and vecr=-hati+mu(2hati+hatj+hatk) at A and B, respectively then length of AB is equal to

If vec r is a vector of magnitude 21 and has direction ratios 2,-3a n d6, then find vec rdot

Find the direction ratios and direction cosines of the vectors (ii) veci +vecj+ veck .

Find the direction ratios and direction cosines of the vectors (i) 4veci+2vecj-3veck ,

A line L_(1) with direction ratios -3,2,4 passes through the point A(7,6,2) and a line L_(2) with directions ratios 2,1,3 passes through the point B(5,3,4). A line L_(3) with direction ratios 2,-2,-1 intersects L_(1) and L_(3) at C and D, resectively. The equation of the plane parallel to line L_(1) and containing line L_(2) is equal to