The Cross Product

Is the outcome of cross product a scalar or vector?

• Scalar

• Vector

Find the cross product u x v if

u = < 2, 0, 1 > and v = < 0, 0 , -1 >.

• 2

• < 0, 2, 0 >

• -2

• < 0, -2, 0 >

Find the cross product v x u if

u = < 2, 0, 1 > and v = < 0, 0 , -1 >.

• 2

• < 0, 2, 0 >

• -2

• < 0, -2, 0 >

Evaluate

 (< -1, 2, 3 > + <1, -2, -3 >)  x  < 2, 4, -10 >.

• < 2, 4, -10 >

• -6

• < 0, 0, 0 >

• 0

Find the area of the parallelogram formed by the vectors u = < 3, 0, 1> and v = < 1, -1, 2 >.

• $\sqrt{35}$

• < 1, -5, -3 >

• $\sqrt{34}$

• < 1, 5, -3 >

Find the volume of the parallelepiped fored by the vectors u = < -1, 1, 1>,

v = < 0, 3, 2 > and w = < 1, 4, 0 >.

• 3

• 13

• 9

• 7