We have three vectors ū, v and w in Rª: 1 %3D 2 1 (7a) Are these vectors ū, v and w linearly independent? Justify your answer. (7b) Find a vector i E Rª that is not in the span of ū, i and w. Make sure to provide an explanation of why is not in the span of ủ, i and w. 13 ||

Q: 23. Evaluate (x8(x² - 2x - 3)dx A)1 BIO C)-I D12 E)-2 24. For a constant vector E, find the constant…

A: Let us solve above problem.

Q: Which ONE of the following formulas involving vectors a, b.c, a # 0 is meaningless? A. B. Oc. (a…

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Q: Find the unit vector in the same direction as the vector u = [8, –7].

A: When you divide a vector by its magnitude you get an unit vector along its direction.

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A: Step 1:parallelogram law -MP=MQ+QP=u+vand NQ=MQ+MN=u+v Step 2:…

Q: Write vas the sum of two vector components if v= 2i+jand w=3/- 2j. O-(-+)+(¹+) O )+(¹+)) O (+)+(+) O…

A: Write v as the sum of two vector components if v=2i+j and w=3i-2j.

Q: 9. Let b, and b, be any real numbers with | b, |31 and | by151. Let u- VI - bịi + b, Vĩ – bị j +…

A: Consider the given vector: Here the objective is to prove that the given vector is a unit vector.

Q: {0·0·0} - {0·8·0} - {0···0} II. I only B II only CI and II only DI and III only

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Q: Which of the following pairs of vectors are perpendicular? -/2 > and O A | -12 > and OB. - 2/2 >…

A: We need to find the pair of vectors which are perpendicular. This can be done as follows:

Q: In Exercises 13-28, add as indicated. 13. -3 + (-8) 14. -5 + (-10) 15. -14 + 10 16. -15 + 6 17. -6.8…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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Q: Let u = - 2, 3 > amd = . a. Compute jul. b. Write 3 - 2u in component form. c. Compute a unit vector…

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Q: Make all obvious simplifications.

A: We have to solve

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Q: q 22. 16 determine the magnitude and direction of the vector v = and also show that  v = |v|u ,…

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Q: the vectors y₁, y₂, Y3 (where y; E R² V i) must be linearly dependent?

A: Given the vectors y1, y2 and y3 in the vector space R3.

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A: Let's find unit vector in the direction of a.

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Q: If å = -î +ĵ b = 2î – 3j č = î - î And d = å – 3B + ¢ Determine the unit vector of d

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Q: 4. Let v = a b Describe the set H of vectors that are orthogonal to v.

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A: If two vectors are perpendicular then multiplication of their direction ratio is zero.…

Q: Let V/1 ----- For what value of h is y in the span of the vectors v1 and v₂? h

A: Let, v1=15-4,  v2=-3-168, y=843h To determine the value of h in the span of the vectors v1 and v2.…