If A → = 4 i ^ - 3 j ^ and B → = 6 i ^ + 8 j ^ then magnitude and direction of A → + B → will be

Question

If A → = 4 i ^ - 3 j ^ and B → = 6 i ^ + 8 j ^ then magnitude and direction of A → + B → will be, 5 , tan - 1 ⁡ 3 4, 5 5 , tan - 1 ⁡ 1 2, 10 , tan - 1 ⁡ 5, 25 , tan - 1 ⁡ 3 4

MARKS App · Accepted Answer

A → + B → = 4 i ^ - 3 j ^ + 6 i ^ + 8 j ^ = 10 i ^ + 5 j ^ A → + B → = 10 2 + 5 2 = 5 5 tan ⁡ θ = 5 10 = 1 2 ⇒ θ = tan - 1 ⁡ 1 2

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