Math 12 Chapter 7
Vectors
Test - 2


Math Class 12
1. If a = a1i + a2j + a3k and b = b1i + b2j + b3k then a . b = ____________________



2. The cross product of two vectors a & b is donated by a x b and it is equal to _______________



3. Two vectors a, b are said to be perpendicular if a . b = ______________________



4. The scalar product of any two vectors a & b is a ______________


5. If ® r = xi + yj + zk then its magnitude �� r �� = ________________



6. If any line in the psace makes angles a, b, g with x-axis, y-axis and z-axis then cos2 a + cos2 b + cos2 g = _______________




Math Class 12
7. If p(x,y,z) and Q (x2,y2,z2) are any two points in space then the distance between P & Q is equal to ______________



8. If i, j, k are unit vectors in space then i.j = _________.. j.k. = __________ k.i. = __________ i.i. = ____________ j.k. = ____________. k.k. = _____________


9. If a and b are two vectors in space then a. b = __________________



10. If any line in the space makes angles a, b, g then Sin2 a + Sin2 b + Sin2 g = ________________



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