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1 The vector addition holds
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Commutative law
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Law of vector addition
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Both A & B
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None of these
Correct!Wrong!The vector addition holds Commutative law as well as Law of vector addition
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2 When a vector is multiplied by a positive number , its direction
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Does not change
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Change by 180 degree
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Change by 270 degree
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None of these
Correct!Wrong!When a vector is multiplied by a positive number , its direction remain same
Only change happen when multiply by a negetive number otherwise only magnitude change
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3 The minimum number of vectors of equal magnitudes whose vector sum can be zero is
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1
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2
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3
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None of these
Correct!Wrong!2 is the answer
When two equal vectors are anti parallel to each other then their resultant will be zero
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4 The components of a vector , mutually perpendicular to each other are called
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Equal vectors
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Rectangular components of a vectors
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Opposite vectors
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None of these
Correct!Wrong!Rectangular components of a vectors is the answer
Rectangular components are components making angle of 90 degree with each other
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5 If a vector A makes an angle 90˚ with x-axis, then its y-componenet is
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Atanϴ
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Acosϴ
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Zero
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None of these
Correct!Wrong!"A" is the correct answer
As the vector A is directed only along the y axis therefore no horizontal component and whole magnitute is along vertical direction.
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6 The magnitude of resultant of two vectors is minimum when they are
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Parallel
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Anti parallel
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Perpendicular
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None of these
Correct!Wrong!The correct answer is anti parallel
As the anti parallel vectors are opposite in direction so they can cancel the effect of each other and minimize the resultant
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7 If the resultant vector lies in 3rd quadrant, then its direction is
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ϴ = Ф
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ϴ =270˚-Ф
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ϴ =270˚+Ф
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None of these
Correct!Wrong!The corrrect answer is ϴ = 180˚+Ф
In 3rd quadrant the both components of vectors are negative so its direction will be in between 180 degree and 270 degree
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8 The resultant of two forces 3N and 4N making an angle 90˚ with each other is
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1
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7
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5
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None of these
Correct!Wrong!The correct answer is "5"
As 3 N and 4 N are rectangular components so by using formula of magnitude answer will be equal to "5"
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9 In case of unit vector i ̂ . j ̂ = j ̂ . k ̂ = k ̂ . i ̂ is equal to
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1
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0
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-1
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None of these
Correct!Wrong!"0" is the correct answer
The unit vectors are mutually perpendicular (angle between them is 90 degree) to each other so the angle between them is 90 degree and for dot product cos90=0 so i.j=j.k=k.i=0
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10 The angle between the vectors i ̂+ 3 j ̂-2k ̂ and i ̂-j ̂-k ̂ is
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O˚
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90˚
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180˚
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None of these
Correct!Wrong!90 degree is the correct answer
As the dot product of given vector gives zero resultant so the angle between the given vectors is equal to 90 degree
Reason#1:(cos90=0)
Reason#2: ( i ̂+ 3 j ̂-2k ̂ ).(i ̂-j ̂-k ̂ )=1-3+2=0
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PHYSICS XI Ch#2 Quiz 1
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