a)Calculate the following equation considering the vectors, a=(4,-2,-4), b=(1,6,7) and c= (1,-1,-2). (ax b) - (a x c) b) For the vectors a = (2,-1,-3) and b = (3,-4,2), calculate the scalar proj, a and scalar proj b. State both projections in scalar form. Explain and discuss what vector projection of two vectors are. You may use a diagram to help with this explanation. Be sure to discuss the cases of different angles.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please solve 1a)-1d)

a)Calculate the following equation considering the vectors, a=(4,-2,-4), b=(1,6,7) and c=

(1,-1,-2).

(ax b) - (a x c)

b)

For the vectors a = (2,-1,-3) and b = (3,-4,2), calculate the scalar proj, a and

scalar proj b. State both projections in scalar form. Explain and discuss what vector projection of two vectors are. You may use a diagram to help with this explanation. Be sure to discuss the cases of different angles.

c)

Calculate the following equation considering the vectors, a=(2,-1,3), b=(4,1,-2) and c=

(8,3,-1).

d)

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