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Test: Resolution of Vectors (NCERT) - NEET


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5 Questions MCQ Test Physics Class 11 - Test: Resolution of Vectors (NCERT)

Test: Resolution of Vectors (NCERT) for NEET 2023 is part of Physics Class 11 preparation. The Test: Resolution of Vectors (NCERT) questions and answers have been prepared according to the NEET exam syllabus.The Test: Resolution of Vectors (NCERT) MCQs are made for NEET 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Resolution of Vectors (NCERT) below.
Solutions of Test: Resolution of Vectors (NCERT) questions in English are available as part of our Physics Class 11 for NEET & Test: Resolution of Vectors (NCERT) solutions in Hindi for Physics Class 11 course. Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free. Attempt Test: Resolution of Vectors (NCERT) | 5 questions in 5 minutes | Mock test for NEET preparation | Free important questions MCQ to study Physics Class 11 for NEET Exam | Download free PDF with solutions
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Test: Resolution of Vectors (NCERT) - Question 1
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If n is a unit vector in the direction of the vector then

Detailed Solution for Test: Resolution of Vectors (NCERT) - Question 1

Unit vector is vector with magnitude unity but having specific direction.

Value of unit vector is given by:

Where,

 = unit vector

A = vector a

∣A∣ = magnitude of vector a

Test: Resolution of Vectors (NCERT) - Question 2
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The components of Vector ​ along the directions of vectors () is

Detailed Solution for Test: Resolution of Vectors (NCERT) - Question 2

Given , (say) components of along the direction of

Test: Resolution of Vectors (NCERT) - Question 3
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The magnitude of the x-component of vector is 3 and the magnitude of vector is 5. What is the magnitude of the y-component of vector ?

Detailed Solution for Test: Resolution of Vectors (NCERT) - Question 3


Squaring both sides we get 

Test: Resolution of Vectors (NCERT) - Question 4
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The direction cosines ofare 
Detailed Solution for Test: Resolution of Vectors (NCERT) - Question 4

Let=  ∴ Ax = 1, Ay = 1, Az = 1
and
cos α, cos β andcos y are the direction cosines of .

Test: Resolution of Vectors (NCERT) - Question 5
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If a vector makes angles α, β and γ  with X, Y and Z axes respectively then sin2α + sin2β + sin2γ is equal to 
Detailed Solution for Test: Resolution of Vectors (NCERT) - Question 5

cos2 α + cos2 β + cos2 Y = 1
(1 - sin2 α) + (1 - sin2 β) + (1 - sin2 Y) = 1
or sin2 α + sin2 β + sin2 Y = 3 - 1 = 2

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