Given that A→+B→=C→ and that C→ is perpendicular to A→. Further if |A→|=|C→|, then what is the angle between A→ and B→ ?

A=Ctan⁡θ=CA=1⇒ θ=45∘=π4 Angle between A→ and B→ is 180−θ=180∘−45∘=135∘=3π4rad

Given that A→+B→=C→ and that C→ is perpendicular to A→. Further if |A→|=|C→|, then what is the angle between A→ and B→ ?

A=Ctan⁡θ=CA=1⇒ θ=45∘=π4 Angle between A→ and B→ is 180−θ=180∘−45∘=135∘=3π4rad

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Given that $\vec{A} + \vec{B} = \vec{C}$ and that $\vec{C}$ is perpendicular to $\vec{A}$ . Further if $| \vec{A} | = | \vec{C} |$ , then what is the angle between $\vec{A} and \vec{B} ?$

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$\frac{π}{4} radian$

$\frac{π}{2} radian$

$\frac{3 π}{4} radian$

$π radian$

answer is C.

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$\begin{array}{l} A = C \\ \tan θ = \frac{C}{A} = 1 \\ \Rightarrow θ = 45^{\circ} = \frac{π}{4} \end{array}$

$Angle between \vec{A} and \vec{B} is$

$180 - θ = 180^{\circ} - 45^{\circ} = 135^{\circ} = \frac{3 π}{4} rad$

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Given that A→+B→=C→ and that C→ is perpendicular to A→. Further if |A→|=|C→|, then what is the angle between A→ and B→ ?

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Given that $\vec{A} + \vec{B} = \vec{C}$ and that $\vec{C}$ is perpendicular to $\vec{A}$ . Further if $| \vec{A} | = | \vec{C} |$ , then what is the angle between $\vec{A} and \vec{B} ?$