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Geometrical Interpretation of Vector product is considered one of the most asked concept.
12 Questions around this concept.
A particle is acted upon by constant forces which displace it from a point to the point . The work done in standard units by the forces is given by
Let and , Let be parallel to and be perpendicular to .If , then the value of is
If and
Then is equal to
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Let for a triangle ABC,
If and the area of the triangle is , then is equal to
Area of Parallelogram
If and , are two non-zero, non-parallel vectors represented by AD and AB respectively and let Ө be the angle between them.
Area of Triangle
If and , are two non-zero, non-parallel vectors represent as the adjacent sides of a triangle then its area is given as
The area of a triangle is ½ (Base) x (Height)
From the figure,
NOTE:
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Mathematics for Joint Entrance Examination JEE (Advanced) : Vectors and 3D Geometry
Page No. : 3.22
Line : 12
July 04, 2019
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