Question
SOLVE USING MATLAB PROGRAM Solve using MATLAB 1. Given a = <2,-4,4> b = 2j - k Find (1) 2 a + 3 b (2)
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
- a= 2i +j b=I - j + k
- a=<4,1,1/4> b=<6,-3,-8>
- 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
- a=<-5,3,7>, b = <6,-8,2>
- a=<4,6>, b=<-3,2>
- 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>
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