Find a unit vector that has the same direction as the given vector. 4i - j+ 8k

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 50E
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Find a unit vector that has the same direction as the given vector.
4i – j + 8k
Transcribed Image Text:Find a unit vector that has the same direction as the given vector. 4i – j + 8k
Expert Solution
Step 1

Unit vector means the vector whose magnitude is equal to one.

So to find the unit vector in the direction of the given vector, we have to make the magnitude of the given vector becomes unity (one) without any changes in the other terms.

So to find the unit vector in the direction of the given vector we will divide the each term of the given vector by the magnitude of the given vector.

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