Scalars and Vectors

IMPORTANT

Scalars and Vectors: Overview

This topic covers concepts such as Physical Quantity, Scalar Quantity, Algebra of Scalar Quantities, Vector Quantity, Equal Vectors, Algebra of Vector Quantities, Multiplying a Vector by a Real Number, Parallel Vectors, Anti-parallel Vectors, etc.

Important Questions on Scalars and Vectors

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A bus is moving on a straight road towards north with a uniform speed of  50 km h1  turns through   90° anticlockwise. If the speed remains unchanged after turning , the increase in the velocity of bus in the turning process is:

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What is antiparallel vectors?

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Which of the following is an example of vector quantity?

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A _______ charge is defined as the amount of electric charge transported by one-ampere current in one second from one point to anther

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Which of the following is used for measuring long time intervals?

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If vectors A=i^+3j^+2k^ and B=3i^+j^+2k^ then find value of A×B..

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Convert the vector r=3i+2j into a unit vector.

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When two right-angled vectors of magnitude 7 units and 24 units combine, what is the magnitude of their resultant?

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If  V1 = 3i ^ +4j ^+k^ and V2 = i ^ -j ^-k^ then determine magnitude of V1 +V2.

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Vector A has a magnitude of 10 units and makes an angle of 30° with the positive x-axis. Vector B has a magnitude of 20 units and makes an angle of 30° with the negative x-axis. What is the magnitude of the resultant between these two vectors?

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Find the magnitude of the vector 2 i^+3 j^+4 k^.

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The value of x for which x.i^+j^+k^ is a unit vector is 

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In a three-dimensional system, the position coordinates of a particle (in motion) are given below x=acosωt, y=asinωt, z=aωt. The velocity of the particle will be

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A unit vector is represented as 0.8i^+bj^+0.4k^. The value of b must be,

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Vector A has a magnitude of 10 units and makes an angle of 30° with the positive x-axis. Vector B has a magnitude of 20 units and makes an angle of 30° with the negative x-axis. What is the magnitude of the resultant between these two vectors?

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For the resultant of the two vectors to be maximum, what must be the angle between them?

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A and B are two vectors in a plane and C is third vector perpendicular to the plane. Their resultant

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The splitting of vectors into components is called

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Two forces F1=1 N and F2=2 N act along the lines x=0 and y=0, respectively. Then the resultant of forces would be

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Mass is a _____(scalar/ vector) quantity.