91.Write the direction ratio’s of the vector and hence calculate its direction cosines.
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92.Show that the direction cosines of a vector equally inclined to the axes OX, OY and OZ are
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93.
If and , find the direction ratios of
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Long Answer Type
94.If A (2, – 1, 3), B (8, 5, – 6) and C (4, 1, 0) are the vertices of a triangle. show that (i) AB = 3 AC (ii) The direction-cosines of are
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Short Answer Type
95.Show that vector is equally inclined to the axes OX. OY and OZ.
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Long Answer Type
96.Show that the points A (6. – 7, 0) B (16, – 19, – 4). C (0, 3, – 6), D (2, – 5, 10) are such that AB and CD intersect at the point P (1, – 1, 2).
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97.The vectors of magnitude a, 2a, 3a meet at a point and their directions arc. along the diagonals of three adjacent faces of a cube. Determine the magnitude of their resultant.
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Short Answer Type
98.Write all the unit vectors in XY-plane.
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99.Write down a unit vector in XY-plane, making an angle of 30° with the positive direction of x-axis.
100.A girl walks 4 km towards west, then she walks 3 km in a direction 30° east of north and stops. Determine the girl’s displacement from her initial point of departure.
Let | OA | = 4 km and | AB | = 3 km then ∠OAB = 90° – 30° = 60°. From B, draw Let be the position vector of B. Also Distance of B from initial point
Short Answer Type
Long Answer Type
are 
be the position vector of B.
and hence calculate its direction cosines.
and 
, find the direction ratios of 
is equally inclined to the axes OX. OY and OZ. 
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