If a vector A is given as A = 4 i ^ + 3 j ^ + 12 k ^ , then the angle subtended with the x-axis is

Question

If a vector A is given as A = 4 i ^ + 3 j ^ + 12 k ^ , then the angle subtended with the x-axis is, sin - 1 ⁡ 4 13, sin - 1 ⁡ 3 13, cos - 1 ⁡ 3 13, cos - 1 ⁡ 4 13

MARKS App · Accepted Answer

Let α is the angle which A makes with x - axis, then cos ⁡ α = A x A = 4 4 2 + 3 2 + 12 2 = 4 13 α = cos - 1 ⁡ 4 13

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