What is direction of vector \(\vec{a}\) if it is multiplied with -λ?

Category: QuestionsWhat is direction of vector \(\vec{a}\) if it is multiplied with -λ?
Editor">Editor Staff asked 11 months ago

What is direction of vector \(\vec{a}\) if it is multiplied with -λ?
 
(a) Downwards
 
(b) Upwards
 
(c) Same
 
(d) Opposite
 
This question was addressed to me in semester exam.
 
The question is from Multiplication of a Vector by a Scalar in chapter Vector Algebra of Mathematics – Class 12
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
Interview Questions and Answers, Database Interview Questions and Answers for Freshers and Experience

1 Answers
Editor">Editor Staff answered 11 months ago

Right choice is (d) Opposite
 
Explanation: If the vector is multiplied with –λ then its direction become opposite as the direction in which it was previous may be positive or negative. After it is multiplied with a negative value then its direction becomes exactly opposite to the previous direction.