A vector has magnitude same as that of overrightarrow{mathrm{A}}=3 hat{mathrm{j}}+4 hat{mathrm{j}} a

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3-1.Vectors

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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 $X$=_____.

A$4$

B$5$

C$6$

D$7$

(JEE MAIN-2024)

Solution

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

Standard 11

Physics

State with reasons, whether the following algebraic operations with scalar and vector physical quantities are meaningful :
$(a)$ adding any two scalars,
$(b)$ adding a scalar to a vector of the same dimensions ,
$(c)$ multiplying any vector by any scalar,
$(d)$ multiplying any two scalars,
$(e)$ adding any two vectors,
$(f)$ adding a component of a vector to the same vector.

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easy

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Solution

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