Grade 12 Math

Chapter - 4
vector algebra

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We will use vector to calculate angles, distances and areas.

Vectors in there dimensions

Vector algebra is one of the essential topics of algebra. It studies the algebra vector quantities. As we know, there are two types of physical quantities, scalars and vectors. The scalars quantity has only magnitude, whereas the vector quantity has both magnitude and dirction.

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Vector algebra is used to study electromagnetic fields, gravitational fields, fluid flow, and other topics in engineering and physics. Differential Equation and Partial Differential Equations are solved using vector algebra.
The resultant of the force acting on the body is calculated using vector algebra.

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​( 1 )	Zero Vector ​	​Vector with zero magnitude
​​( 2 )	​Unit vector	​Vector whose magnitude is 1 unit
​​( 3 )	​Cointial Vector	​Two or more vectors with same intial point
​​( 4 )	​Collinear Vector	​Two or more vectors lying on the same or parallel lines.
​​( 5 )	​Equal Vectors	​Two or more vectors with same magnitude and direction
​​( 6 )	​Negative Vectors	​Vector with same magnitude but opposite direction as that of the given vector.

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