The x and y components of a vector are 4-3m and 4 m respectively- What angle does the vector make with positive x-axis-

Angle making with the horizontal #160; #160; #160; tanθ = 44√(3) Or #160; #160; tanθ = 1√(3) θ = 30^o ...

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Byju's Answer

Standard XII

Mathematics

Definition of Vector

The x and y c...

Question

The x and y components of a vector are $4 \sqrt{3}$ m and 4 m respectively. What angle does the vector make with positive x-axis?

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Solution

Angle making with the horizontal $tan θ = \frac{4}{4 \sqrt{3}}$
Or $tan θ = \frac{1}{\sqrt{3}}$
$⟹ θ = 30^{o}$

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The x and y components of a vector are 4√3m and 4 m respectively. What angle does the vector make with positive x-axis?

Angle making with the horizontal tanθ=44√3Or tanθ=1√3⟹ θ=30o

The x and y components of a vector are $4 \sqrt{3}$ m and 4 m respectively. What angle does the vector make with positive x-axis?

Angle making with the horizontal $tan θ = \frac{4}{4 \sqrt{3}}$
Or $tan θ = \frac{1}{\sqrt{3}}$
$⟹ θ = 30^{o}$