The angle between two vectors given by `6hat(i)+6hat(j)-3hat(k)` and `7hat(i)+4hat(j)+4hat(k)` is

The angle between the vectors 4hat(i)+3hat(j)-4hat(k) and 3hat(i)+4hat(j)+6hat(k) is :

The sine of the angle between vectors vec(a)=2hat(i)-6hat(j)-3hat(k) and vec(b)=4hat(i)+3hat(j)-hat(k)

Find the angle between the vectors hat(i)+3hat(j)+7hat(k) and 7hat(i)-hat(j)+8hat(k) .

Find the angle between the vectors hat(i)+3hat(j)+7hat(k) and 7hat(i)-hat(j)+8hat(k) .

Find the angle between the vectors hat(i)+3hat(j)+7hat(k) and 7hat(i)-hat(j)+8hat(k) .

Find th esine of angles between vectors vec(a)= 2hat(i) - 6hat(j) - 3hat(k), and vec(b) = 4hat(i) + 3hat(j)- hat(k) ?

Given two vectors vec(A) = -hat(i) + 2hat(j) - 3hat(k) and vec(B) = 4hat(i) - 2hat(j) + 6hat(k) . The angle made by (A+B) with x-axis is :

Given two vectors vec(A) = -hat(i) + 2hat(j) - 3hat(k) and vec(B) = 4hat(i) - 2hat(j) + 6hat(k) . The angle made by (A+B) with x-axis is :

Find the shortest distance and the vector equation of the line of shortest distance between the lines given by r=(3hat(i)+8hat(j)+3hat(k))+lambda(3hat(i)-hat(j)+hat(k)) and r=(-3hat(i)-7hat(j)+6hat(k))+mu(-3hat(i)+2hat(j)+4hat(k)) .