Mathematics In Physics Question 5

Question 5 - 2024 (30 Jan Shift 2)

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

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Answer: (4)

Solution:

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

$\therefore x=4$