P का मान ज्ञात कीजिए यदि (2vec(i)+6vec(j)+27vec(k))xx(vec(i)+3vec(j)+pvec(k))=vec(0). | 12 | दो ...

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

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 ___________.

The position of the particle is given by vec(r )=(vec(i)+2vec(j)-vec(k)) momentum vec(P)= (3vec(i)+4vec(j)-2vec(k)) . The angular momentum is perpendicular to

(vec i + xvec j + 3vec k) xx (vec i-vec j + vec k) = 5vec i + xvec j-3vec k then x =

Find the value of: (vec j xxvec k) * (3vec i + 2vec j-vec k)

find the value of | vec i xx (vec i + vec j + vec k) |

Let vec(a)= hat(i) +hat(j)+2hat(k) and vec(b)= -hat(i) +2hat(j) +3hat(k) . Then the vector product (vec(a) +vec(b)) xx ((vec(a) xx ((vec(a)-vec(b)) xx vec(b))) xx vec(b)) is equal to

Given that vec(a)=vec(i)+vec(j) +vec(k), vec(b)=vec(i)-vec(j)+vec(k), vec(c)=vec(i)+vec(j)-vec(c)=vec(i)+vec(j)-vec(k) , the value of (vec(a).vec(b))+(vec(b).vec(c))+(vec(c).vec(a)) is ______?

If vec a xx i+2vec a-4vec i-2vec j+vec k=0 then vec a=