If ` overset rarr A = hat i - 2 hat j + 3 hat kk`.Find the direction cosines of `overset rarr A`.

Direction cosines of hat i are ‘

If overset rarr A = 2 hati + 5 hat j ,what is the unit vector perpendicular to overset rarr A ?

Statement 1: A component of vector vec b=4 hat i+2 hat j+3 hat k in the direction perpendicular totehdirectin of vector vec a= hat i+ hat j+ hat ki s hat i- hat jdot Statement 2: A component of vector in the direction of vec a= hat i+ hat j+ hat ki s2 hat i+2 hat j+2 hat kdot

For what value of a are overset rarr A = a hat i - 2 hat j + hat k and overset rarr B = 2 a hat i - a hat j - 4 hat k perpendicular.

Three vectors overset rarr A = a hat i + hat j + hat k , overset rarr B = hat i + b hat j + hat k and overset rarr C = hat i + hat j + c hat k are mutually perpendicular .The respective values of a,b and c are

Find the direction cosines of the vector hat i + 2 hat j+ 3 hat k .

For given vectors, vec a =2 hat i- hat j+2hat k and vec b =-hat i +hat j - hat k , find the unit vector in the direction of the vector vec a+ vec b .

The sides of a parallelogram represent the vectors 2 hat i- 4 hat j+ 5 hat k and hat i- 2 hat j-3 hat k . Find the unit vectors parallel to its diagonals.

Find the projection of the vector vec a = 2 hat i+ 3 hat j+ 2 hat k on the vector vec b= hat i+ 2 hat j+ hat k .

A particle acted on by two forces 4 hat i+ 3 hat j and 3 hat i+ 2 hat j is displaced from the point hat i+ 2 hat j to 5 hat i+ 4 hat j . Find the totral work done by these forces.