Find the area of the parallelogram whose adjacent sides are determined by the vectors `a=hat(i)-hat(j)+3hat(k) and b=2hat(i)-2hat(j)+5hat(k)`.

Find the area of the parallelogram whose adjacent sides are determined by the vectors vec(a) = hat(i) - hat(j) + 3hat(k) and vec(b) = 2hat(i) - 7hat(j) + hat(k) .

The area of the parallelogram whose adjacent sides are hat(i)+hat(k) and 2 hat(i)+hat(j)+hat(k) is

Find the angle between the vectors vec(a) = hat(i) + hat(j) + hat(k) and vec(b) = hat(i) - hat(j) + hat(k) .

The Area of the Parallelogram determined by the vectors hat(i) + 2hat(j) + 3hat(k), -3hat(i) -2hat(j) + hat(k) (in sq. unit) is

Show that the vectors 2hat(i)-3hat(j)+4hat(k) and -4hat(i)+6hat(j)-8hat(k) are collinear.

The unit vector perpendicular to the vectors hat(i) -hat(j) + hat(k), 2hat(i) + 3hat(j) -hat(k) is

Find the magnitude of the vector (2hat(i) - 3hat(j) - 6hat(k)) + (-hat(i) + hat(j) + 4hat(k)) .

Find the projection of the vector hat(i)+3hat(j)+7hat(k) on the vector 7hat(i)-hat(j)+8hat(k) .

Find the sine of the angle between the vectors hat(i) + 2 hat(j) + 2 hat(k) and 3 hat(i) + 2 hat(j) + 6 hat(k)