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

If the vectors pvec i-5vec j+6vec k and 2vec i-3vec j-qvec k are collinear,find p and q

Examine if vec(i) - 3vec(j) + 2vec(k), 2vec(i) - 4vec(j) - vec(k) and 3vec(i) + 2vec(j) - vec(k) are linearly independent or dependent .

If the projection of vec(i)+3vec(j)+7vec(k) on 2vec(i)-3vec(j)+6vec(k) is ___________.

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

If veca=-vec(2i)-vec(2j)+vec(4k),vecb=-vec(2i)+vec(4j)-vec(2k) and vecc=vec(4i)-vec(2j)-vec(2k) Calculate the value of [veca vecb vecc\] and interpret the result.

| 2vec i-3vec j + vec k | =

If the points having position vectors vec i+bvec j+cvec k,7vec i+2vec j+6vec k and 5vec i+2vec j+5vec k are collinear then find the values of b and c

Let vec a = vec i + vec j, vec b = vec j + vec kc = alphavec a + betavec b .If the vectors vec i-2vec j + vec k, 3vec i + 2vec j-vec k and vec c are coplanar then aplh (a) / (beta)

If three vector 2vec i-vec j-vec k,vec i+2vec j-3vec k,3vec i+lambdavec j+5vec k are coplanar then the value of lambda is :

if the vectors vec a=vec i+vec j+vec k, , b=vec i-vec j+2vec k and vec c=xvec i+(x-2)vec j-vec k are coplanar then x is