# If $$\vec{a}$$ =$$\hat{i}$$ + $$\hat{j}$$ + $$\hat{k}$$ and λ=5, what is value of λ$$\vec{a}$$?

Category: QuestionsIf $$\vec{a}$$ =$$\hat{i}$$ + $$\hat{j}$$ + $$\hat{k}$$ and λ=5, what is value of λ$$\vec{a}$$?
Editor">Editor Staff asked 11 months ago

If $$\vec{a}$$ =$$\hat{i}$$ + $$\hat{j}$$ + $$\hat{k}$$ and λ=5, what is value of λ$$\vec{a}$$?

(a) $$\hat{i}$$ + $$\hat{j}$$ + $$\hat{k}$$

(b) 5$$\hat{i}$$ + 5$$\hat{j}$$ + 5$$\hat{k}$$

(c) $$\hat{i}$$ + 5$$\hat{j}$$ + 5$$\hat{k}$$

(d) 10$$\hat{i}$$ + 10$$\hat{j}$$ + 10$$\hat{k}$$

This question was addressed to me at a job interview.

My doubt stems from Multiplication of a Vector by a Scalar in division 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

Right option is (b) 5$$\hat{i}$$ + 5$$\hat{j}$$ + 5$$\hat{k}$$
To explain I would say: Multiplication of vector $$\vec{a}$$ =$$\hat{i}$$ + $$\hat{j}$$ + $$\hat{k}$$ by scalar value 5 results in 5$$\hat{i}$$ + 5$$\hat{j}$$ + 5$$\hat{k}$$, as in these type of questions we multiply$$\hat{i}$$, $$\hat{j,}$$
$$\hat{k}$$ with the constant given and the answer comes out to be 5$$\hat{i}$$ + 5$$\hat{j}$$ + 5$$\hat{k}$$.