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Test: Vector Addition - Analytical Method (NCERT) - NEET MCQ


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10 Questions MCQ Test Physics Class 11 - Test: Vector Addition - Analytical Method (NCERT)

Test: Vector Addition - Analytical Method (NCERT) for NEET 2024 is part of Physics Class 11 preparation. The Test: Vector Addition - Analytical Method (NCERT) questions and answers have been prepared according to the NEET exam syllabus.The Test: Vector Addition - Analytical Method (NCERT) MCQs are made for NEET 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Vector Addition - Analytical Method (NCERT) below.
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Test: Vector Addition - Analytical Method (NCERT) - Question 1

Which of the following quantities is dependent of the choice of orientation of the coordinate axes?

Detailed Solution for Test: Vector Addition - Analytical Method (NCERT) - Question 1

A vector, its magnitude and the angle between two vectors do not depend on the choice of the orientation of the coordinate axes. So angle between are independent of the orientation of the coordinate axes. But the quantity Ax + Bdepends upon the magnitude of the components along x and y axes, so it will change with change in coordinate axes.

Test: Vector Addition - Analytical Method (NCERT) - Question 2

Two vectors inclined at an angle θ have a resultantwhich makes an angle α  withand angle β  withLet the magnitudes of the vectors be represented by A, B and R respectively. Which of the following relations is not correct?

Detailed Solution for Test: Vector Addition - Analytical Method (NCERT) - Question 2

Let OP and OQ represent two vectorsmaking an angle (α + β). Using the parallelogram method of vector addition,
Resultant vector, 
SN is normal to OP and PM is normal to OS.
From the geometry of the figure,
OS2 = ON2 + SN2 = (OP + PN)2 + SN= (A + Bcos(α + β))+ (Bsin(α + β))2

R2 = A+ B+ 2ABcos(α + β)

In ΔOSN, SN = OSsinα = Rsinα and in ΔPSN,SN = PSsin(α + β) = Bsin(α + β)
Rsinα = Bsin(α + β) or R/sin(α + β)= B/sinα
Similarly,
PM = Asinα = Bsinβ
A/sinβ = B/sinα
Combining (i) and (ii), we get
R/sin(α + β) = A/sinβ = B/sinα
From eqn, (iii), Rsinβ = Asin(α + β)

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Test: Vector Addition - Analytical Method (NCERT) - Question 3

Vectorsinclude an angle θ between them. Ifrespectively subtend angles α and β with then (tanα + tanβ) is :

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Test: Vector Addition - Analytical Method (NCERT) - Question 4

A unit vector in the direction of resultant vector of 

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Test: Vector Addition - Analytical Method (NCERT) - Question 5

A unit vector perpendicular to i^−2j^​+k^ and 3i^−j^​+2k^ is

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Test: Vector Addition - Analytical Method (NCERT) - Question 6

Resultant of two vectorsis of magnitude P. Ifis reversed, then resultant is of magnitude Q. What is the value of P2 + Q2?

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Test: Vector Addition - Analytical Method (NCERT) - Question 7

If then the angel betweenwill be

Detailed Solution for Test: Vector Addition - Analytical Method (NCERT) - Question 7

Let θ be the angle between the vectors

Test: Vector Addition - Analytical Method (NCERT) - Question 8

A motorboat is racing towards the north at 25 kmh−1 and the water current in that region is 10 kmh−1 in the direction of 60 east of south. The resultant velocity of the boat is:

Detailed Solution for Test: Vector Addition - Analytical Method (NCERT) - Question 8

velocity of the water current vc​ = 10 km/s

velocity of the motorboat vb ​= 25 km/h

angle between north and south east is 120o

The resultant velocity of the boat is 22km/h−1

Test: Vector Addition - Analytical Method (NCERT) - Question 9

Ifis a vector of magnitude 5 units due east. What is the magnitude and direction of a vector -5?

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Test: Vector Addition - Analytical Method (NCERT) - Question 10

The driver of a car moving towards a rocket launching pad with a speed of 6 ms−1 observed that the rocket is moving with a speed of 10 ms−1 the upward speed of the rocket as seen by the stationary observer is

Detailed Solution for Test: Vector Addition - Analytical Method (NCERT) - Question 10

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