If `vecr=2hati-3hatj+2hatk` find the direction cosines of vector.

Find the direction cosines of the vector 2hati+2hatj-hatk

Find the direction ratios and the direction cosines of the vector vecr= hati + hatj+hatk .

(i) Find the unit vector in the direction of veca+vecb if veca=2hati-hatj+2hatk , and vecb=-hati+hatj-hatk (ii) Find the direction ratios and direction cosines of the vector veca=5hati+3hatj-4hatk .

The position vectors of A and B are 3hati - hatj +7hatk and 4hati-3hatj-hatk . Find the magnitude and direction cosines of vec(AB) .

If the position vectors of A and B are hati+3hatj-7hatk and 5hati-2hatj+4hatk , then the direction cosine of AB along Y-axis is

Write the direction ratios of the vector r=hati-hatj+2hatk and hence calculate its direction cosines.

Statement1: A component of vector vecb = 4hati + 2hatj + 3hatk in the direction perpendicular to the direction of vector veca = hati + hatj +hatk is hati - hatj Statement 2: A component of vector in the direction of veca = hati + hatj + hatk is 2hati + 2hatj + 2hatk

Forces 2hati+hatj, 2hati-3hatj+6hatk and -hati+2hatj-hatk act at a point P, with position vector 4hati-3hatj-hatk . Find the vector moment of the resultant of these forces about thepoint Q whose position vector is 6hati+hatj=3hatk

Find the resultant of vectors veca=hati-hatj+2hatk and vecb=hati+2hatj-4hatk . Find the unit vector in the direction of the resultant vector.

Find the direction cosines of the vector hati+2hatj+3hatk .