A vector has magnitude same as that of A -=3 j +4 j and is parall… - Vidyadip

MCQ

A vector has magnitude same as that of $\overrightarrow{\mathrm{A}}-=3 \hat{\mathrm{j}}+4 \hat{\mathrm{j}}$ and is parallel to $\overrightarrow{\mathrm{B}}=4 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}$. The $\mathrm{x}$ and $y$ components of this vector in first quadrant are $\mathrm{x}$ and $3$ respectively where $X$=_____.

✓
$4$
B
$5$
C
$6$
D
$7$

✓

Answer

Correct option: A.

$4$

a
$\overline{\mathrm{N}}=|\overline{\mathrm{A}}| \hat{\mathrm{B}}=\frac{5(4 \hat{\mathrm{i}}+3 \hat{\mathrm{j}})}{5}=4 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}$

$\therefore \mathrm{x}=4$

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