Question
Write two different vectors having same direction.
The direction cosines of
$\vec{p}$ are given by, $I=\frac{1}{\sqrt{1^2+1^2+1^2}}=\frac{1}{\sqrt{3}},$ $m=\frac{1}{\sqrt{1^2+1^2+1^2}}=\frac{1}{\sqrt{3}},$ $\text{and}\ n=\frac{1}{\sqrt{1^2+1^2+1^2}}=\frac{1}{\sqrt{3}},$ The direction cosines of $\vec{q}$ are given by,$I=\frac{2}{\sqrt{2^2+2^2+2^2}}=\frac{2}{2\sqrt{3}}=\frac{1}{\sqrt{3}},$ $m=\frac{2}{\sqrt{2^2+2^2+2^2}}=\frac{2}{2\sqrt{3}}=\frac{1}{\sqrt{3}},$ $\text{and}\ n=\frac{2}{\sqrt{2^2+2^2+2^2}}=\frac{2}{2\sqrt{3}}=\frac{1}{\sqrt{3}},$
The direction cosines of $\vec{p}\ \text{and}\ \vec{q}$ are the same. Hence, the tow vectors have the same direction.Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
f(x) = ex, g(x) = logex