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Problem

Find $ a \cdot b $. $ \mid a \mid = 7 $ , $ \m…
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Problem 8 Easy Difficulty

Find $ a \cdot b $.

$ a = 3i + 2j - k $ , $ b = 4i + 5k $

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Related Courses

Calculus 3
Calculus: Early Transcendentals

Chapter 12

Vectors and the Geometry of Space

Section 3

The Dot Product

Related Topics

Vectors

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Lectures

Video Thumbnail

02:56
Vectors Intro

In mathematics, a vector (from the Latin word "vehere" meaning "to carry") is a geometric entity that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. Vectors play an important role in physics, engineering, and mathematics.
Video Thumbnail

11:08
Vector Basics Overview

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.
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Watch More Solved Questions in Chapter 12

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Problem 7
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Problem 9
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Problem 12
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Problem 16
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Problem 21
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Problem 25
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Problem 31
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Problem 65

Video Transcript

Okay, So we most like component wise here not for and three plus two and zero plus native. One, five, twelve minus five seven.

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Calculus: Early Transcendentals

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