SOLVE USING MATLAB PROGRAM

Solve using MATLAB

1. Given a=<2,-4,4> b= 2j - k

Find (1) 2a + 3b

(2) a - 2b

(3) IaI

(4) Ia - bI

2. Find the vector that has the same direction as <-4,2,4> but has the length 6.

3. If v lies lies in the first quadrant and makes an angle of 30 with the positive x axis and the magnitude of v is 4, write v in component form.

4.Find a vector a with representation given by the directed line segment connecting the points

A(0,3,1) and B(2,3,-1)

5.Find ab if

1. a= 2i +j b=I - j + k
2. a=<4,1,1/4> b=<6,-3,-8>
3. a=i b=j where i and j are unit vectors

For number 2 find also the scalar and vector projections of a on b

6. Find the direction angles ,, for the vector 3i + 2j - k

7. Determine if the given vectors are orthogonal, parallel or neither

1. a=<-5,3,7>, b = <6,-8,2>
2. a=<4,6>, b=<-3,2>
3. a= -i + 2j +5k, b= 3i +4j

8. Find a unit vector that is perpendicular to the vectors a=<4,1,1/4> b=<6,-3,-8>