DOT AND CROSS PRODUCT OF VECTORS

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

• 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

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

Given points A(3, 2, -4) and B(2, 1, -1), so the vector AB is

• i + 3j -5k

• -i -3j +3k

• i -j -5k

• -i -j +3k

Tags

CCSS.HSN.VM.A.2

If the dot product of two vectors is equal to zero, then what do we know about the two vectors?

• They are parallel.

• They are perpendicular.

• They are unit vectors.

• They are both zero vectors.

Find the angle between vectors (1,3) and (2,-5).

• 40.2°

• 49.7°

• 139.7°

• 92.6°

The scalar projection of vector u=(-7,4) onto vector v=(4, -3) is

• 8

• 40

• -8

• -16

if vector u and vector v are parallel then the projection of u on v is

• 0

• -1

• u

• v

Vectors a, b, c are defined as:

a = 2i + 5j; b = i - 3j; c = -3i - j. Answer all correct answers

• a + b = 3i + 8j

• a - b = i + 8j

• a + c = -i + 4j

• c - b = -5i + 6j

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B