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MHT-CET : Mathematics Entrance Exam

MHT - CET : Mathematics - Vectors Formulae Page 1

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Triangle Law:

 

If two vectors are represented in magnitude and direction by two sides of a triangle taken in order, then their resultant (vector sum) is represented in magnitude and direction by the third side of the triangle.

 

Parallelogram Law:

 

If two vectors are represented in magnitude and direction by two adjacent sides of a parallelogram taken in order, then their resultant (vector sum) is represented in magnitude and direction by the diagonal passing through the point of intersection of the adjacent sides.

 

Some basic rules:

 

= -

+ = +

m( + ) = m + m

 

Linear combination of vectors

 

If and are two vectors and x and y are real numbers, then the vector x + y is called the linear combination of and .

 

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