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3-1.Vectors
easy
$\overrightarrow{ A }=4 \hat{i}+3 \hat{j}$ અને $\overrightarrow{ B }=4 \hat{i}+2 \hat{j}$ છે. $\overrightarrow{ A }$ ને સમાંતર અને જેનું મૂલ્ય $\overrightarrow{ B }$ કરતા પાંચ ગણું હોય તે સદિશ શોધો.
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
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