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Find the vector equation of a line passi...

Find the vector equation of a line passing through a point with position vector `2hati-hatj+hatk` and parallel t the line joining the points with position vectors `-hati+4hatj+hatk and hati+2hatj+2hatk`. Also, find the cartesian equivalent of the equation.

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Find the vector equation of a line passing through the point with position vector hati-2hatj-3hatk and parallel to the line joining the points with position vectors hati-hatj+4hatk and 2hati+hatj+2hatk . Also find the cartesian form of the equation.

Find the vector equation of a plane passing through the point having position vector 2hati+hatj+hatk and perpendicular to the vector: 4hati-2hatj+3hatk .

Find the equation of the line passing through the point with position vector hati-hatj+2hatk and perpendicular to the plane vecr.(2hati-hatj+3hatk)=5 .

Find the vector equation of a line passing through the point with position vector (2hati-3hatj-5hatk) and perpendicular to the plane vecr*(6hati-3hatj-5hatk)+2=0 . Also, find the point of intersection of this line and the plane.

Show that the three points with position vectors -2hati+3hatj+5hatk , hati+2hatj+3hatk and 7hati-hatk are collinear.

Find the angle between the vectors : hati+hatj+hatk and hati+hatj-hatk .

The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk and 4hati+2hatj+3hatk are the vertices of

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
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  2. Show that the line joining the origin to the point (2, 1, 1) is perpen...

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  10. Find the perpendicular distance from the point (1,2,3) to the line : v...

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  13. Find the coordinates of the foot of the perpendicular drawn from point...

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