Vectors - Intro thru Cross Products

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

• True 

• False

Calculate the cross product of <1, -2, 1> and <2, -1,1>

• 5

• 3

• < -1, -1, 3>

• < -1, 1, 3>

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.3

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

• True
• False

Given parallel vectors u and v. Answer ALL that apply

• their scalar product is zero

• their scalar product is either 1 or -1

• u is a scalar multiple of v

• magnitude of u equals the magnitude of v

• their cross product is 0

Which vector operation is commutative?

• Dot Product

• Vector Projection

• Scalar Projection

• Cross Product

Tags

CCSS.HSN.VM.B.4

CCSS.HSN.VM.C.10

• -23i+7j-k

• 23i+7j-k

• -2i+j-7k

• -3i+7j-k

Tags

CCSS.HSN.VM.A.1

What operation you need to find an 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

What is the answer when you take dot product between two vectors?

• a vector

• a scalar

• a vector and scalar

• nothing

What will we get when we take cross product between two vectors?

• A scalar

• A perpendicular vector

• A point on the plane

• A point on the line

The y value of the vector product is ________.

• -4

• 4

• 8

• -8