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Questions  

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

a
90° and 0.6
b
120° and 0.6
c
180° and 0.6
d
180° and 1.6

detailed solution

Correct option is C

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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