[" 21.सदिश "3vec i+4vec j-6vec k" के मापांक और दिक कोज्या प्राप्त करें। "],[" Find the modulus and the direction cosines of the vector "3vec i+4vec i-6vec k" ."]

(3vec i+4vec j-5vec k)*vec i=

If vec(A) = 3 hat(i) + 6 hat(j) - 2hat(k) , the directions of cosines of the vector vec(A) are

A point on the line r=2vec i+3vec j+4vec k+t(vec i+vec j+vec k) is

The sine of the angle between the vectors vec i+3vec j+2vec k and 2vec i-4vec j+vec k is

Find the angle between the vectors vec(i) + 2vec(j) + 3vec(k) and 3vec(i) - vec(j) + 2vec(k) .

The position vectors of the points A and B are vec i + 2 vec j + 3 vec k and 2 vec i - vec j - vec k respectively. Find the projection of vec (AB) on the vector vec i + vec j + vec k . Also find the resolved part of vec (AB) in that direction.

Find a unit vector which is perpendicular to each of the vectors 3vec i+2vec j-vec k and 12vec i+5vec j-5vec k

vec i + vec j + vec k, 4vec i + vec j + vec k, vec 4 + 5vec j + k Then the position vector of the circumcentre of the Delta ABC is