Mathematics In Physics Question 5
Question 5 - 2024 (30 Jan Shift 2)
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 $x$ and $y$ components of this vector in first quadrant are $\mathrm{x}$ and 3 respectively where $\mathrm{x}=$
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Answer: (4)
Solution:
$\overline{\mathrm{N}}=|\overline{\mathrm{A}}| \hat{\mathrm{B}}=\frac{5(4 \hat{\mathrm{i}}+3 \hat{\mathrm{j}})}{5}=4 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}$
$\therefore \mathrm{x}=4$
