Calculalte R-when R- A 2 - B 2 -2ABcos- given that- A - 6 m- B - 8 m and angle is 600

Given that, #10; #10;Vector A=6 m #10; #10;Vector B=8 m #10; #10;Angle θ =60^0 #10; #10;Now, the resultant is #10; #10 ...

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Vector Notation

Calculalte R,...

Question

Calculalte R,when $R = \sqrt{A^{2} + B^{2} + 2 A B c o s θ}$ given that, A = 6 m, B = 8 m and angle is $60^{0}$

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a \sqrt{A^{2} + B^{2} + 2 A B c o s θ}

(a^{2} - b^{2}) sin θ + 2 a b cos θ = a^{2} + b^{2}

tan θ = \frac{a^{2} - b^{2}}{2 a b}

\to R = (\to A + \to B),

R^{2} = A^{2} + B^{2} + 2 A B c o s θ

(a^{2} - b^{2}) sin θ + 2 a b cos θ = a^{2} + b^{2}

tan θ

Δ, \frac{a^{2} + b^{2} + c^{2}}{R}

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b^{2} = a^{2} + c^{2}

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