Let `veca=vec(i)-vec(j)+3vec(k),vec(b)=3vec(i)-5vec(j)+6vec(k)` .Then integer part of the magnitude of the projection of `2vec a-vec b` on to the vector `vec a+vec b` is

Let vec a=vec i-vec j+3vec k,vec b=3vec i-5vecj+6veck integer part of the magnitude of the projection of 2vec a-vec b on to the vector vec a+vec b is

If the vectors 2vec(i)-qvec(j)+3vec(k) and 4vec(i)-5vec(j)+6vec(k) are collinear, the value of q is

If vec a=hat i-hat j and vec b=-hat j+hat k find the projection of vec a on vec b

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

Given the three vectors vec(a) = - 2hati + hat(j) + hat(k), vec(b) = hat(i) + 5hat(j) and vec(c) = 4hat(i) + 4hat(j) - 2hat(k) . The projection of the vector 3vec(a) - 2vec(b) on the vector vec(c) is

Let vec(a)=2hat(i)+3hat(j)-hat(k) , vec(b)=-hat(i)+3hat(j)+4hat(K) . Evaluate (i) |vec(a)|,|vec(b)| (ii) vec(a).vec(b) (iii) the angle between the vectors vec(a) and vec(b) (iv) the projection of vec(a) on vec(b) (v) the projection of vec(b) on vec(a) area of the DeltaAOB where O is origin

If vec a = 2vec i-3vec j + vec k and vec b = -vec i + vec kvec c = 2vec j-vec k then the area of the parallelogram is having diagonals vec a + vec b and vec b + vec c is

Find the angle between the vectors : vec(a)=3vec(i)-2vec(j)+vec(k) and vec(b)=vec(i)-2vec(j)-3vec(k)

Let b=-vec i+4vec j+6vec k,vec c=2vec i-7vec j-10vec k If vec a be a unit vector and the scalar triple product [vec avec bvec c] has the greatest value then vec a is

Let vec(a)=6vec(i)-3vec(j)-6vec(k) and vec(d)=vec(i)+vec(j)+vec(k)."Suppose that" vec(a)=vec(b)+vec(c) "where" vec(b) "is parallel to" vec(d) and vec(c) " si perpendicular to" vec(d). "Then" vec(c) "is-"