Question

Solve this question (Chap : Vectors)

If A and B are two non collinear unit vectors and |A + B| = √3.

Then find the value of
(A - B)•(2A + B)

Answer 1

⚛️⚛️☣️☣️VECTORS ☣️☣️⚛️⚛️

| A + B |² = |A|² + |B|² + 2|A| |B| cosΦ

√3 = 1 + 1 + 2cosΦ

cosΦ = 1/2

Therefore,
( A-B) • (2A + B ) = 2 |A|² - |A| |B| cosΦ - |B|²
= 1 - cos Φ
= 1 - 1/2
= 1/2
!!
Thanks For asking @AR17

Answer 2

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