Question

Three vectors A of length 3 cm and 30 degree, B of 4 cm and 120 degree and C of 5 cm 90 degree (all make an angle with the x-axis) are there. Prove the associative law (A+B)+C = A+(B+C) BY VECTOR ADDITION.

Answer 1

Answer:

Let xˉ=30 units

Bˉ=44 unit

cˉ=5 units

A+B=C′ squaring m both side

(A+B)2=C2=1

A2+B2+2ABcosθ=C2

32+42+2×3×4cosθ=52

24cosθ=25−25

cosθ=0/2

cosθ=0

θ=cos−1(0)=90o

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Explanation:

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Answer 2

a2 + 2ab + b2 – c2 = (a2 + 2ab +b2) – c2. = (a + b)2 – (c)2. = (a + b + c) (a + b – c) ...