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MHT CET 202623 AprilMorning Shift

Exam: MHT CET
Year: 2026
Date: 23 April
Shift: Morning Shift
Subject: Physics
Chapter: Mathematics in Physics

MHT CET 2026 · 23 April · Morning Shift · Physics · Mathematics in Physics

Given A = 2 i - 2 j + 8 k and B = 2 i - m j + 8 k , if A and B have...

Given

\vec{A} = 2\hat{i} - 2\hat{j} + 8\hat{k}

and

\vec{B} = 2\hat{i} - m\hat{j} + 8\hat{k}

, if

\vec{A}

and

\vec{B}

have the same direction, the value of

m

is

Options

A $1$
B $2$
C $3$
D $4$

Correct answer

B. $2$

Step-by-step solution

For two vectors

\vec{A}

and

\vec{B}

to have the same direction, their corresponding components must be proportional with a positive ratio.

\dfrac{A_x}{B_x} = \dfrac{A_y}{B_y} = \dfrac{A_z}{B_z}

Substituting the given values:

\dfrac{2}{2} = \dfrac{-2}{-m} = \dfrac{8}{8}

1 = \dfrac{2}{m} = 1

m = 2

Answer:

2

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