SATHEE: Kinematics Question 107

Kinematics Question 107

Question: If a vector $\vec{P}$ making angles a, b, and g respectively with the X, Y and Z axes respectively. Then $\sin^{2} α + \sin^{2} β + \sin^{2} γ =$

Options:

A) 0

B) 1

C) 2

D) 3

Show Answer

Answer:

Correct Answer: C

Solution:

$\sin^{2} α + \sin^{2} β + \sin γ$

$= 1 - \cos^{2} α + 1 - \cos^{2} β + 1 - \cos^{2} γ$

$= 3 - (\cos^{2} α + \cos^{2} β + \cos^{2} γ)$

$= 3 - 1 = 2$

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Kinematics Question 107

Question: If a vector P→ making angles a, b, and g respectively with the X, Y and Z axes respectively. Then sin2α+sin2β+sin2γ=

Options:

Answer:

Solution:

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Question: If a vector $\vec{P}$ making angles a, b, and g respectively with the X, Y and Z axes respectively. Then $\sin^{2} α + \sin^{2} β + \sin^{2} γ =$