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Dot Product of Vectors

Om Prakash Mishra
24/09/2018 0 1

Dot or Scalar Product of Vectors

Dot Product of two vectors  A and is defines as product of magnitude of the vectors and cosine of the angle between them.

A•B = |A||B|CosT, Where T is the angle between the vectors A and B.

It is a scalar quantity

Special Cases

(I) If two vectors are perpendicular to each other their dot product is Zero.

(ii) If two vectors and B are parallel their dot product is |A||B|.

If i, j, k are unit vectorsalong X, Y, Z axis respectively then

i.i = 1

j.j = 1

k.k = 1

i.j = 0

j.k = 0

K.i = 0.

Note : Scalar product is commutative

i.e. A.B = B.A

0 Dislike

M

Mohanrao L | 23/12/2018

the magnitude of vector to depend angle ,

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