# |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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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$$\vec{a}$$|.