92.Show that the direction cosines of a vector equally inclined to the axes OX, OY and OZ are
Let be the vector, where are the direction ratios of the vector. Since vector is equally inclined to the axes
direction cosines of a vector equally inclined to axes are
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93.
If and , find the direction ratios of
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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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95.Show that vector is equally inclined to the axes OX. OY and OZ.
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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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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.
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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.
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Long Answer Type
are 
and hence calculate its direction cosines.
be the vector, where 
are the direction ratios of the vector.
direction cosines of a vector equally inclined to axes are 
Switch
and 
, find the direction ratios of 
is equally inclined to the axes OX. OY and OZ. 
