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The sum of two vectors of fixed magnitudes has the greatest magnitude when the angle between these two vectors is
A) 90°
B) 180°
C) 60°
D) 0°
E) 270°

Sagot :

Answer:

D) 0°

Explanation:

In the drawing, the black and blue vectors are added together resulting in the purple vectors. One can see that when the black and blue vectors point in the same direction (0 angle between them), the magnitude of the purple vector is largest.

View image Аноним

The angle between the two fixed magnitude vectors, for the sum of these two has the greatest magnitude, is 180°.

What is vector addition?

The vector is the vector operation of adding two or more than two vectors for the vector sum.  

The formula for the vector addition of two forces with law of cosine can be given as,

[tex]F_R=\sqrt{F_1^2+F_2^2+2F_1F_2.\cos\alpha}[/tex]

For the maximum value of the sum of the given two vectors, the value of the angle should be as which gives the greatest value of cosine.

It is known that the maximum value of cos is at the 0 degree and than at 180 degree.

[tex]\cos(180)=1[/tex]

Thus, the angle between the two fixed magnitude vectors, as the sum of these two has the greatest magnitude, is 180°.

Learn more about the vector addition here;

https://brainly.com/question/24855749

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