Concept of cross product

What is the outcome of cross product?

• Scalar

• Vector

• Both scalar & vector

The cross products solution is a vector that is orthogonal to both of the cross products components

• True
• False

Properties of cross product :

• A x B = B x A

• A x (B x C) = (A x B) x C

• A x B = -B x A

The cross product of vectors A and B is __________.

• parallel to either A or B

• parallel to both A and B

• perpendicular to either A or B

• perpendicular to both A and B

What operation is required to determine the angle between two vectors?

• Dot product between the two vectors

• Dot product between the two vectors divided by the magnitude of both vectors

• Cosine inverse of dot product between the two vectors divided by the magnitude of both vectors

• Cross product between the two vectors

• Sine inverse of the length of the cross product between the two vectors divided by the magnitude of both vectors

This cross product is equal to _____.

• 
• 
• both options

Vector product can be used in finding

• Area of Triangle and Paralleogram

• Area of Triangle only

• Volume of Triangle

• Area of Parallelogram only

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 >

Evaluate

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

• < 2, 4, -10 >

• -6

• < 0, 0, 0 >

• 0

If   $u\ \cdot v\ =\ 0$ , then  $u\ =\ 0\$  and  $v\ =\ 0$ . 

• True 

• False