|λ| times the magnitude of vector \(\vec{a}\) is denoted as ______

Category: Questions|λ| times the magnitude of vector \(\vec{a}\) is denoted as ______
Editor">Editor Staff asked 11 months ago

|λ| times the magnitude of vector \(\vec{a}\) is denoted as ______
 
(a) |λ\(\vec{a}\)|
 
(b) λ|\(\vec{a}\)|
 
(c) |λ|\(\vec{a}\)
 
(d) λ\(\vec{a}\)
 
I have been asked this question by my college director while I was bunking the class.
 
My query is from Multiplication of a Vector by a Scalar topic in division 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 (a) |λ\(\vec{a}\)|
 
The explanation is: |λ| times the magnitude of vector \(\vec{a}\) is denoted as |λ\(\vec{a}\)| = |λ||\(\vec{a}\)|
 
As we know that the magnitude of vector \(\vec{a}\) is denoted by |\(\vec{a}\)|, if we multiply the magnitude of vector \(\vec{a}\) with magnitude of λ we get |λ\(\vec{a}\)|.