Two vectors having same magnitude have a resultant and resultant also has same magnitude, then the angle between the vectors will be:

^{0}

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^{0}

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^{0}

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120

^{0}

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Solution

The correct option is D 120 $^{0}$
This is an important result to remember. Two vectors at 120 degree produce a vector equal to their magnitude. Let their magnitude be a,
Resultant = a = $\sqrt{(a^{2} + a^{2} + 2 \times a \times a \times c o s θ)}$ = a $\sqrt{(2 + 2 c o s θ)}$ => cos $θ$ $= - \frac{1}{2}$
=> $θ$ = $120^{0}$

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Two vectors having same magnitude have a resultant and resultant also has same magnitude, then the angle between the vectors will be:

The correct option is D 1200This is an important result to remember. Two vectors at 120 degree produce a vector equal to their magnitude. Let their magnitude be a, Resultant = a = √(a2+a2+2×a×a×cosθ) = a√(2+2cosθ) => cosθ =−12=>θ = 1200