बल `F=(3hat(i)+4hat(j)-5hat(k))` तथा विस्थापन `d=(5hat(i) +4hat(j)+3hat(k))` के बीच का कोण ज्ञात करे । F का D पर प्रक्षेप भी ज्ञात करे ।

If vec(F) = 3hat(i) + 4hat(j) + 5hat(k) and vec(S) = 6hat(i) + 2hat(j) + 5hat(k) , find the work done by the force.

Find the angle between force vec(F) =(3hat(i)+4hat(j)-5hat(k)) unit and displacement vec(d)=(5hat(i)+4hat(j)+3hat(k)) unit , Also find the projection of F on d .

A force vec(F) = (4hat(i) - 3hat(j) - 5hat(k)) N moves a body for (3hat(i) + 6hat(j) + 3hat(k)) m to (ahat(i) - 8hat(j) + 5hat(k)) m. If the work done by the force is 8j, the value of .a. is

If vec(F) = (60 hat(i) + 15hat(j) - 3hat(k)) and vec(v) = (2hat(i) - 4hat(j) + 5hat(k))m//s , then instantaneous power is :

The position vectors of points A, B, C and D are : vec(A) = 3hat(i) + 4hat(j) + 5hat(k), vec(B) = 4hat(i) + 5hat(j) + 6hat(k) vec(C ) = 7hat(i) + 9hat(j) + 3hat(k) and vec(D) = 4hat(i) + 6hat(j) Then the displacement vectors vec(AB) and vec(CD) are :