For unit vectors b and c and any non zero vector a, the value of {{(a + b) × (a + c)}×(b × c)}⋅(b + c) is
The vector ((i−j) × (j−k)) × (i + 5k) is equal to
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If , and are linearly dependent vectors and , then
Let, be three non-zero vectors such that is a unit vector perpendicular to both If the angle between is equal to
Let be non-coplanar unit vectors equally inclined to one another at an acute angle . Then in terms of is equal to
If are two non-zero non-collinear vectors then is equal to
Let and is a unit vector such that , then equals
If for some non-zero vector , then the area of the triangle whose vertices are are non-coplanar)
If are three non-coplanar vectors, then the value of is :
Let and be three non-coplanar vectors, and let and be the vectors defined by the relations and . Then the value of the expression
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