Obtain the angle between A+B and A-B, if A=2i^+3j^ and B=i^-2j^.

A+B=R=3i^+j^A-B=S=i^+5j^Now, angle between R and S isθ=cos-1R·SRS=cos-1465

Obtain the angle between A+B and A-B, if A=2i^+3j^ and B=i^-2j^.

A+B=R=3i^+j^A-B=S=i^+5j^Now, angle between R and S isθ=cos-1R·SRS=cos-1465

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Obtain the angle between $A + B$ and $A - B$ , if $A = 2 \hat{i} + 3 \hat{j}$ and $B = \hat{i} - 2 \hat{j}$ .

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$\tan^{- 1} (\frac{4}{\sqrt{65}})$

$\sin^{- 1} (\frac{4}{\sqrt{65}})$

$\cot^{- 1} (\frac{4}{\sqrt{65}})$

$\cos^{- 1} (\frac{4}{\sqrt{65}})$

answer is D.

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$A + B = R = 3 \hat{i} + \hat{j}$

$A - B = S = \hat{i} + 5 \hat{j}$

Now, angle between $R$ and $S$ is

$θ = \cos^{- 1} (\frac{R \cdot S}{R S})$

$= \cos^{- 1} (\frac{4}{\sqrt{65}})$

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Obtain the angle between A+B and A-B, if A=2i^+3j^ and B=i^-2j^.

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Obtain the angle between $A + B$ and $A - B$ , if $A = 2 \hat{i} + 3 \hat{j}$ and $B = \hat{i} - 2 \hat{j}$ .