MECHANICS (VECTOR GEOMETRY) SCALAR OR DOT PRODUCT OF TWO VECTORS

GENERAL REVISION EVALUATION

1. Given that a=4i – 2j +k, b=2i – j +3k and c=5i +2k find (i) (a+b)c              (ii) a=c+b.c
2. If  a = 4i – 2j +k, b=6i +5j find (i) the unit vector  in direction of b. (ii) the projection of a on b (iii) the unit ve4xtor in the direction of a (iv) the projection of b on a.

READING ASSIGNMENT: Read vector Geometry, Further Mathematics project II page 236-240

THEORY

1a) Given that  a = 4i – 5j + 2k  and  b =  -7i + 3j – 6k  find the scalar product of a and b  (b)  find the direction  cosine  2a + 3b

2 ) Find the angle between  p = 6i + 2j – 4k    and   q = 9i + 5j