SATHEE: Kinematics Question 128

Kinematics Question 128

Question: Vector $\vec{A}$ makes equal angles with x, y and z axis. Value of it’s components (in terms of magnitude of $\vec{A}$ ) will be

Options:

A) $\frac{A}{\sqrt{3}}$

B) $\frac{A}{\sqrt{2}}$

C) $\sqrt{3} A$

D) $\frac{\sqrt{3}}{A}$

Show Answer

Answer:

Correct Answer: A

Solution:

Let the components of $\vec{A}$ makes angles $α, β$ and $γ$ with x, y and z axis respectively then $α = β = γ$

$\cos^{2} α + \cos^{2} β + \cos^{2} γ = 1$
$\Rightarrow$ $3 \cos^{2} α = 1$
therefore $\cos α = \frac{1}{\sqrt{3}}$
$∴ A_{x} = A_{y} = A_{z} = A \cos α = \frac{A}{\sqrt{3}}$

Kinematics Question 128

Question: Vector $\vec{A}$ makes equal angles with x, y and z axis. Value of it’s components (in terms of magnitude of $\vec{A}$ ) will be

Options:

Answer:

Solution:

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Kinematics Question 128

Question: Vector A→ makes equal angles with x, y and z axis. Value of it’s components (in terms of magnitude of A→ ) will be

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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Question: Vector $\vec{A}$ makes equal angles with x, y and z axis. Value of it’s components (in terms of magnitude of $\vec{A}$ ) will be