- Home
- Standard 11
- Physics
3-1.Vectors
easy
$\overrightarrow{ A }=4 \hat{ i }+3 \hat{ j }$ and $\overrightarrow{ B }=4 \hat{ i }+2 \hat{ j }$. Find a vector parallel to $\overrightarrow{ A }$ but has magnitude five times that of $\vec{B}$.
A$\sqrt{20}(2 \hat{ i }+3 \hat{ j })$
B$\sqrt{20}(4 \hat{ i }+3 \hat{ j })$
C$\sqrt{20}(2 \hat{ i }+\hat{ j })$
D$\sqrt{10}(2 \hat{ i }+\hat{ j })$
Solution
(b)
Required vector
$\overrightarrow{ R }=5|\overrightarrow{ B }| \hat{ A }=5 \sqrt{20}\left(\frac{4 \hat{ i }+3 \hat{ j }}{5}\right)=\sqrt{20}(4 \hat{ i }+3 \hat{ j })$
Required vector
$\overrightarrow{ R }=5|\overrightarrow{ B }| \hat{ A }=5 \sqrt{20}\left(\frac{4 \hat{ i }+3 \hat{ j }}{5}\right)=\sqrt{20}(4 \hat{ i }+3 \hat{ j })$
Standard 11
Physics
