Mechanics ; Vectors Or Cross Product On Two Or Three Dimension , Cross Product Of Two Vectors And Application Of Cross Product

GENERAL EVALUATION

1) Find the vector product of  a= 4i -3j +4k and  b = -I + 2j +7k

2) Given that p = 7i + 2j + k  and q = 3i – 2j + 4k find ; (i) p x q  (ii) | p x q | (iii) the unit vector perpendicular to both p and q

3) Find the sine of the angle between the vectors :  a = I – j + k  and  b = 8i + 2j + 3k

4) The adjacent sides of a parallelogram  are PQ= 4i + 3j + k  and PR = -5i + 2j +3k find the area of the parallelogram

5) The position vectors OA, OB and OC are  2i – 3j + 4k , 6i + 4j -8k and 3i + 2j + 5k respectively  find  (i) vector AB  (ii) vector BA  (iii) vector BC (iv)  AB x BC

Reading Assignment: New Further Maths Project 2 page 216 – 222

WEEKEND ASSIGNMENT

Given that  a = I + 2j + k  and   b = 2i +3j- 5k

1) find ( a x b ) . a    a)  0  b) 1  c) 2  d) 3

2) find ( a x b ) . b     a) 1  b) 2  c) 0  d) 3

Given that  p = I + 5j + 6k    and q = – 2i + j + 3k

3)  find p x q    a) 15i +11j -11k  b) 11i – 15j + 11k   c)  11i – 11j + 15k  d) 11i- 15j -11k

4) find q x p    a)  -11i  + 15j – 11k  b) 11i –  15j + 11k    c) 15i – 11j-11k  d)  15i+11j+11k

5) Given that  a = i – j+ 3k  and   b = 6i + 2j – 2k     find   ( a + b ) . ( a x b )     a)  1  b) 0   c) 2  d) 3

THEORY

1)  AB = 4i +3j+5k  and AC= 2i-3j+k  are two sides of a triangle  ABC , find the area of the triangle

2) PQ = 2i+5j+3k  and  PR = 3i-3j + k  are two adjacent sides  of  a parallelogram, find the area of the parallelogram.