Show that the following points whose psi...

Show that the following points whose psitions vectors are given are collinear : `5hati+5hatk, 2hati+hatj+3hatk and -4hati+3hatj-hatk`

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Show that the following points whose psitions vectors are given are collinear : -2hati+3hatj+5hatk, hati+2hatj+3hatk and 7hati-hatk

Using scalar triple product prove that the four points whose position vectors are given by the vectors , 4hati-2hatj+hatk , 5hati+hatj+6hatk , 2hati+2hatj-5hatk and 3hati+5hatj are coplanar.

Using scalar triple product prove that the four points whose position vectors are given by the vectors -hatj+hatk , 2hati-hatj-hatk , hati+hatj+hatk and 3hatj+3hatk are coplanar.

Using scalar triple product prove that the four points whose position vectors are given by the vectors , hati-hatj+hatk , 2hati-2hatj , 3hati+2hatj+2hatk and 4hati+hatj+hatk are coplanar.

Show that the following vectors are collinear : 2hati-3hatj+4hatk and -4hati+6hatj-8hatk .

Using vector method, show that the points whose position vectors are , 2hati-hatj+hatk and hati-3hatj-5hatk and 3hati-4hatj-4hatk form a right angled triangle.

Show that the following vectors are coplanar : hati-hatj+hatk,6hati-hatk and 4hati+2hatj-3hatk .

Using scalar triple product, show that the four points given by position vectors : 2hati+3hatj+2hatk,4hati-5hatk,3hati+hatj-2hatk and 5hati+3hatj-4hatk are coplanar.

Find 'lambda' so that the four points with position vectors -hati+3hatj+2hatk,3hati+lambda hatj+4hatk,5hati+7hatj+3hatk and -13hati+17hatj-hatk are coplanar.

Using scalar triple product, show that the four points given by position vectors hati+hatj+10hatk , 2hati+3hatj+11hatk , 3hati+2hatj+6hatk and hati-2hatj+4hatk are coplanar.

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE

Find the equation of the line passing through the point (2, -1, 3) and...
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Prove that the points (1,2,3),(4,0,4),(-2,4,2) and (7,-2,5) are collin...
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Show that the following points whose psitions vectors are given are co...
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Show that the following points whose psitions vectors are given are co...
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Find the points on the line through the points A(1,2,3) and B(5,8, 15)...
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Find the equations of the perpendicular from the point (3,-1,11,) to t...
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Show that the line joining the origin to the point (2, 1, 1) is perpen...
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Find the vector equation of a line passing through a point with positi...
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Find the vector equation of a line passing through the point with posi...
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Find the distance of the point (1,2,3) from the line joining the point...
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Find the distance of the point (1,2,3) from the co ordinate axes.
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Find the distance of (-1,2,5) from the plane passing through the poin...
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Find the perpendicular distance of the point (1,0,0) from the line : (...
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Find the length of the perpendicular from the point (1,2,3) to the lin...
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Find the perpendicular distance from the point (1,2,3) to the line : v...
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Find the image of the point (2,-1,5) in the line (x-11)/(10)=(y+2)/(-4...
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Find the foot of the perpendicular from the point (0,2,3) on the line ...
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Find the coordinates of the foot of the perpendicular drawn from point...
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A(1,0,4), B(0,-11,3), C(2,-3,1) are three points and D is the foot of ...
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The perpendicular distance of a corner of a unit cube from a diagonal ...
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