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“Suppose you add two vectors and . What relative direction between them produces the resultant with...

“Suppose you add two vectors and . What relative direction between them produces the resultant with the greatest magnitude? What is the maximum magnitude? What relative direction between them produces the resultant with the smallest magnitude? What is the minimum magnitude?”


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Answer #1

If the direction of two vectors is same, then the resultant of these two vectors is maximum.

If the direction of two vectors is opposite, then the resultant of these two vectors is minimum.

1) What relative direction between them produces the resultant with the greatest magnitude?

relative direction is zero.

2) What is the maximum magnitude?

a+b

3) What relative direction between them produces the resultant with the smallest magnitude?

relative direction is 180

4) What is the minimum magnitude?

a-b or b-a.

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