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Multiplication Of Vectors MCQ - Practice Questions with Answers

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

Quick Facts

  • 25 Questions around this concept.

Solve by difficulty

 If a,b are unit vectors such that (a+b)[(2a+3b)×(3a2b)]=0, then angle between a and b is - 

The area of the parallelogram formed from the vectors A=l^2j^+3k^ and B=3l^2j^+k^ as adjacent side is:

Vectors A,B and C are such that AB=0 and AC=0. Then the vector parallel to A is

 Angle between (l^+j^) and (l^j^) is (in degrees) 

 

Concepts Covered - 1

MULTIPLICATION OF VECTORS
  1. If a vector is multiplied by any scalar

Z=nY

 (n=1,2,3..) 

Vector \timesScalar= Vector

We get again a vector.

2. If a vector is multiplied by any real number (eg 2 or -2)  then again, we get a vector quantity.

    E.g.

If A is multiplied by 2 then the direction of the resultant vector is the same as that of the given vector.

 Vector =2A


If A is multiplied by ( -2 ), then the direction of the resultant is opposite to that of a given vector.

 Vector =2A
 

Scalar  or Dot or Inner Product

  • Scalar product of two vectors A&B written as AB
  • A,B is a scalar quantity given by the product of the magnitude of A&B and the cosine of the smaller angle between them.

AB=ABcosΘ

     

       Figure showing a representation of scalar products of vectors.

  1. Vector or cross-product

  • Vector or cross product of two vectors A&B written as A×B
  • A×B is a single vector whose magnitude is equal to the product of the magnitude of A \& B and the sine of the smaller angle Θ between them.
  • A×B=ABsinΘ

    

     The figure shows a representation of cross product of vectors.

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MULTIPLICATION OF VECTORS

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