Question

If vector r1=A+B and r2=A-B ,then vector R1+R2/|R1 +R2| will be along ?

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Answer 1

Given that,

Vector $r_{1}=A+B$

Vector $r_{2}=A-B$

We need to calculate the value of $r_{1}+r_{2}$

Using vector r₁ and r₂

$r_{1}+r_{2}=A+B+A-B$

$r_{1}+r_{2}=2A$

$|r_{1}+r_{2}|=|2A|$

$|r_{1}+r_{2}|=2|A|$

We need to calculate the value of $\dfrac{r_{1}+r_{2}}{|r_{1}+r_{2}|}$

Using value of $r_{1}+r_{2}$

$\dfrac{r_{1}+r_{2}}{|r_{1}+r_{2}|}=\dfrac{2A}{2|A|}$

$\dfrac{r_{1}+r_{2}}{|r_{1}+r_{2}|}=\dfrac{A}{|A|}$

$\dfrac{A}{|A|}$ is unit vector along A.

Hence, The vector $\dfrac{r_{1}+r_{2}}{|r_{1}+r_{2}|}$ will be along vector A.

Answer 2

Explanation:

check the answer!!

hope this helps you