Vector Dot Product Concepts

Vector Dot Product Concepts

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Medium

Created by

Fathiyah Jamaludin

Used 1+ times

FREE Resource

5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What type of quantity is the result of a vector dot product?

A vector

A scalar

A matrix

A cross product

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given vector A = <3, -1> and vector B = <2, 5>, what is A • B?

<6, -5>

1

-1

<5, 4>

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following properties is true for the vector dot product?

A • B = B • A

A • (B + C) = (A • B) + C

(cA) • B = c + (A • B)

A • A = |A|

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How can the cosine of the angle (θ) between two vectors A and B be calculated using their dot product and magnitudes?

cos θ = (A • B) / (|A| + |B|)

cos θ = (|A| • |B|) / (A • B)

cos θ = (A • B) / (|A| |B|)

cos θ = (|A| + |B|) / (A • B)

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If two vectors are orthogonal, what is the value of their dot product?

1

-1

0

Undefined

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