Consider the vectors a = 4 i + 3 j and b = 3 i + 4 j . Calculate the magnitude of b .

Correct answer: B. 5 Given vector b = 3 i + 4 j . The magnitude of the vector is given by | b | = x^2 + y^2 . | b | = 3^2 + 4^2 | b | = 9 + 16 | b | = 25 = 5

Concepts Of Physics MCQ Edition [Volume 1]

Exam: Concepts Of Physics MCQ Edition [Volume 1]
Subject: Physics
Chapter: Physics and Mathematics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Physics and Mathematics

Consider the vectors a = 4 i + 3 j and b = 3 i + 4 j . Calculate...

Consider the vectors

\vec{a} = 4\hat{i} + 3\hat{j}

and

\vec{b} = 3\hat{i} + 4\hat{j}

. Calculate the magnitude of

\vec{b}

Options

A $7$
B $5$
C $1$
D $25$

Correct answer

B. $5$

Step-by-step solution

Given vector

\vec{b} = 3\hat{i} + 4\hat{j}

.

The magnitude of the vector is given by

|\vec{b}| = \sqrt{x^2 + y^2}

|\vec{b}| = \sqrt{3^2 + 4^2}

|\vec{b}| = \sqrt{9 + 16}

|\vec{b}| = \sqrt{25} = 5

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