-1 the vectors -3 -2 and 20 linearly independent? 4. noose ey are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. 1 -3 + -2 + -20 -5 4 -4

-1 the vectors -3 -2 and 20 linearly independent? 4. noose ey are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. 1 -3 + -2 + -20 -5 4 -4

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 37E

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Question

Are the vectors ⎡⎣⎢1−3−5⎤⎦⎥[1−3−5], ⎡⎣⎢−1−24⎤⎦⎥[−1−24] and ⎡⎣⎢0−20−4⎤⎦⎥[0−20−4] linearly independent?

If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true.

⎡⎣⎢1−3−5⎤⎦⎥+[1−3−5]+ ⎡⎣⎢−1−24⎤⎦⎥+[−1−24]+ ⎡⎣⎢0−20−4⎤⎦⎥=[0−20−4]= ⎡⎣⎢000⎤⎦⎥[000].

SELECT AN ANSWER CHOICES - linearly dependant, linearly independant

-1
Are the vectors
-3
-2 | and
-20 | linearly independent?
-4
Choose
If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true.
-3
-2
+
-20
-5
4

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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