Problem

Find the direction cosines and direction angles o…

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Problem 36 Easy Difficulty

Find the direction cosines and direction angles of the vector. (Give the direction angles correct to the nearest degree.)

$ \frac{1}{2} i + j + k $

Answer

Direction Cosines for $x, y$ and $z$ directions respectively:
$\frac{1}{3}, \frac{2}{3}$ and $\frac{2}{3}$
Direction angles for $x, y$ and $z$ directions respectively:
$71^{\circ}, 48^{\circ}$ and $48^{\circ}$

Topics

Vectors

Calculus: Early Transcendentals

Chapter 12

Vectors and the Geometry of Space

Section 3

The Dot Product

Discussion

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Video Transcript

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