Q.

What is the angle between 3a and -5a? What is the ratio of magnitude of two vectors?

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a

90° and 0.6

b

120° and 0.6

c

180° and 0.6

d

180° and 1.6

answer is C.

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Detailed Solution

As both the vectors are in the opposite direction of each other therefore, both the vectors are having opposite signs i.e. 3a is positive and -5a is negative, so the difference of angle between them is:=180°Magnitude of the positive vector:=3 aMagnitude of the negative vector:=5 aTherefore, the two vectors ratio is:=3a5a=35=0.6Hence, the ratio of the magnitude of both the vectors is 0.6.
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