|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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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\(\vec{a}\)|.