Mark (√) against the correct answer in the following:
If A(1, 2, -3) and B(-1, -2, 1) are the end points of a vector then the direction cosines of are

Question

Mark (√) against the correct answer in the following: If A(1, 2, -3) and B(-1, -2, 1) are the end points of a vector then the direction cosines of are

Philoid · Accepted Answer

Given A(1,2,-3) and B(-1,-2,1)

Property: The position vector of the of the vector joining two points (x₁,y₁,z₁)and (x₂,y₂,z₂) is

So, the position vector of the line joining A and B is

Property: for the vector , Direction cosines dc’s are

Therefore the Dc’s of the vector ,,

= ,,

=,,

=

Mark (√) against the correct answer in the following:If A(1, 2, -3) and B(-1, -2, 1) are the end points of a vector then the direction cosines of are

Mark (√) against the correct answer in the following:
If A(1, 2, -3) and B(-1, -2, 1) are the end points of a vector then the direction cosines of are