Exercise 4.2.1 Compute u v where: a. u= b. u= 2 3 1 u 1 1 2 -3-4 c. u = d. = = 3 5 6 -5 -8-8 e. u = f. u= a b C , =0

Q: 1. Find the value for a and the value for b such that au + bv = w if u=(-2,3), v= (1,–3), and…

A:

Q: Which of the following sets of vectors are linearly independent? OA. B. -1 4 C. -4 -2 ELELEL 9 -6 2…

A:

Q: 2. 4 7 X•w Compute w • w, x•w, and using the vectors w=-1 and x = w•w - 5 3 w•w = (Simplify your…

A:

Q: 9. Given vectors u = [- 2,6.7] and v = [3.1.–4]. determine .

A: From the given problem:   u→=-2,6,7⇒-2i+6j+7kv→=3,1,-4⇒3i+1j-4k   So,   u→×v→=ijk-26731-4

Q: 7. Let -4 4 a. How many vectors are in {V1, V2, V3}? b. How many vectors are in Col A? c. Is p in…

A:

Q: 7. Let -3 6 -0--0-0-H [-] 8, V3 11 a. How many vectors are in {V₁, V2, V3}? b. How many vectors are…

A:

Q: Let = ondu= a. Compute (ul. b. Compute +7. c. Compute 3u- 2 d. Compute e. Find o vector…

A:

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

A:

Q: Let u = and v = . Now, w = is a linear combination of i and v. That is, w = aju + azv. Determine…

A: Answer:

Q: Let v = (a, b, c). Calculate v × i, v × j, and v × k.

A: given: v=a,b,c we have to calculate v×i, v×j and v×k

Q: Let u = , v = and w = . Now, i = is a linear combination of ü, v and w. That is, i = aju + azv +…

A: ANSWER:

Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

A: