8/9/2019 IA-04Scalar (Dot) Product of Two Vectors(23-27)

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4. SCALAR (DOT) PRODUCT OF TWO VECTORS

1. The scalar product or (dot product) : The scalar product of two vectors banda is a scalar and is

defined as the product of the magnitude of banda and the cosine of the angle between them.i.e., = .cos|b|.|a|b.a , 0) and n be the unit vector perpendicular

to the plane then the equation of the plane is pn.r = .

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8/9/2019 IA-04Scalar (Dot) Product of Two Vectors(23-27)

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Scalar (dot) Product of Vectors

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9. The vector equation of a plane through a point a and perpendicular to a unit vector n is

0n).ar( = .

10. If1 and 2 be two planes whose equations are 222111 qm.r,qm.r == , then the angle between the

planes is

|m|.|m|m.mCos

21

211 .

11. Perpendicular distance from the origin to the plane n.ais0n).ar( = , where a is the position

vector of a point in the plane and n is the unit vector perpendicular to the plane.

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