Calculate the are of the triangle determined by the two vectors `vec(A)=3hat(i)+4hat(j)` and `vec(B)=-3hat(i)+7hat(j).`

The area of the paralleogram represented by the vectors vec(A)= 2hat(i)+3hat(j) and vec(B)= hat(i)+4hat(j) is

Two adjacent sides of a triangle are represented by the vectors vec(a)=3hat(i)+4hat(j) and vec(b)=-5hat(i)+7hat(j) . The area of the triangle is

The angle between two vectors vec(A)= 3hat(i)+4hat(j)+5hat(k) and vec(B)= 3hat(i)+4hat(j)+5hat(k) is

The angle between the two Vectors vec(A)= 3hat(i)+4hat(j)+5hat(k) and vec(B)= 3hat(i)+4hat(j)-5hat(k) will be

The angle between the two Vectors vec(A)= 3hat(i)+4hat(j)+5hat(k) and vec(B)= 3hat(i)+4hat(j)-5hat(k) will be

Determine a vector product of vec(A)=hat(i)+hat(j)+hat(k)and vec(B)=-3hat(i)+hat(j)+hat(k)

Show that the vectors vec(a)=2hat(i)+3hat(j) and vec(b)=4hat(i)+6hat(j) are parallel.

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) .