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1 If vector A = 3j ̂ , vector B = 4j ̂ , A and B are sides of a parallelogram, then area of a parallelogram is:
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12 units
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7 units
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Zero
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None of these
Correct!Wrong!12 units
As
Area of parallelogram=(magnitude of A)x(magnitude of B)
Area of parallelogram=3x4
Area of parallelogram=12 units
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2 Vectors can be multiplied with each other by
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One way
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Two ways
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Three ways
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None of these
Correct!Wrong!Two ways
Following two methods:
1# Scaler product
2# Vector product
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3 The magnitude of product vector C i.e. ,AxB=C is equal to:
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Sum of adjacent sides of parallelogram
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Area of parallelogram
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Parameters of parallelogram
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None of these
Correct!Wrong!Area of parallelogram
As from the characteristics of vector product
Area of parallelogram=product of magnitude of adjacent sides of parallalogram
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4 Scalar product of two vectors obeys:
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Commutative law
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Distributive law
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Both A & B
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None of these
Correct!Wrong!Commutative law
Scalar product of two vectors obeys only Commutative law.
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5 Which of the following group only represents vectors only:
]
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Acceleration , Mass , Force
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Mass , Displacement , Velocity
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Acceleration , Electric Flux , Force
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Velocity , Electric Field , Momentum
Correct!Wrong!Velocity , Electric Field , Momentum
As Velocity , Electric Field , Momentum have direction so they belong to family of vector quantities.
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6 A vector in space has ____ rectangular component
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One
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Two
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Three
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Infinite
Correct!Wrong!Three
Space is also called as three dimensional (3D) rectangular coordinate system which consists of three mutually perpendicular axis i.e. x , y, and z-axis. Therefore a vector in space has maximum three components (x-comp, y-comp, z-comp)
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7 A body in equilibrium implies that:
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Always in rest
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Always in uniform motion
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May be at rest or in acceleration
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None of these
Correct!Wrong!"May be at rest or may be in uniform motion" is correct answer
Two types of equilibrium
1# Static Equilibrium: When body is at rest
2# Dynamic Equilibrium: When body us moving with uniform vwlocity
In above both types acceleration will zero and when acceleration is zero body is said to be in equilibrium.
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8 For two vectors if magnitude of scalar and vector product are same , then angle between the vectors is::
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30˚
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60˚
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90˚
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None of these
Correct!Wrong!"45˚" is the correct answer.
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9 If for two non–zero vectors A and B , A.B=0 , the vectors will be:
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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!Perpendicular
When vectors are perpendicular then angle netween them is 90 degree and dot product of two perpendicular vectors is always equal to zero.(cos90=0)
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10 Cosider a F = 4i ̂ – 3j ̂ . Another vector that is perpendicular to F is
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4i ̂ + 3j ̂
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7k ̂
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3i ̂ – 4j ̂
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None of these
Correct!Wrong!7k ̂
If dot product of two vectors is zero then those vectors are perpendicular to each other.The vector which is perpendicular to F is given computing scaler or dot product
(4i-3j).(7k)=28(i.k)-21(j.k)
=28(0)-21(0)
=0
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PHYSICS XI Ch#2 Quiz 4
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