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  3. consider two vectors and b write an expression in...

Question: consider two vectors and b write an expression in...

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Consider two vectors ã and b. Write an expression in terms of å and b that creates a new vector č that acts parallel to b and has a magnitude equal to the component of a acting in the direction of b. 8. 9. Consider two vectors a and b. Write an expression in terms of å and b that creates a new vector that acts orthogonal to b and has a magnitude equal to the component of a acting in the direction orthogonal to b. Mathematically confirm that is perpendicular to b 10. Assume that [ex, ey, éêzJ is an orthonormal vector basis. The following vectors are defined: A set of vectors is said to be linearly independent if no single vector in the set can be created by a linear combination of the remaining vectors in the set. Are â, b, and linearly independent? If not, what is the relationship between them?
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