Direction of λ\(\vec{a}\) and \(\vec{a}\) is same if λ is _______

Category: QuestionsDirection of λ\(\vec{a}\) and \(\vec{a}\) is same if λ is _______
Editor">Editor Staff asked 11 months ago

Direction of λ\(\vec{a}\) and \(\vec{a}\) is same if λ is _______
 
(a) imaginary
 
(b) negative
 
(c) positive
 
(d) zero
 
This question was addressed to me during an online interview.
 
This intriguing question originated from Multiplication of a Vector by a Scalar topic in chapter Vector Algebra of Mathematics – Class 12
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 11 months ago

The correct option is (c) positive
 
To explain: Direction of λ\vec{a} and \vec{a} is same if value λ is positive as it gives it a direction which is positive in nature. If the value of λ is negative then the direction of the result after multiplication becomes in opposite direction. Whereas the value of the product vector becomes zero if value of λ is 0.