{ be a basis for R? . Find the vector æ if [æ]R =| 3 Let B 8 x = x = 6. x = x = H 00

Q: Let u be a vector and c₁ and c₂ be scalars. Select the best statement. ○ A. c₁ + (u)c₂ = C₁ + C₂u B.…

A: Need to choose the correct statement.

Q: If x is an n-vector, show that x + 0 = x.

A: Given, If x is an n-vector.

Q: Which of the following represents vector u = (37,-51) in linear form?

A: u=-51i+37ju=37i+51ju=37i-51ju=51i-37j

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: y 3 2 1 O -1 -2 -3

A: Given query is to find the x component of the vector.

Q: -2 Let i -4 be a vector in R³. -2 Find the length of vector -3. || – 37|| -

A: Multiply the given vector with -3

Q: Let à = (-5, - 2, 4) and b = (-1,5, 3). Find a x b. (Enter your answer as a vector of the form .)…

A:

Q: 1. Write the vector 1 16 as a linear combination of the vectors 1 2 and 2 1

A: Let the given vectors be:w=-7116, u=-112, v=21-5. To Do: We have to write the vector w=-7116 as a…

Q: Determine which of the following vectors are orthogonal to each other: 12 2 X = 3 X2 1 X3 -3 -5 3

A:

Q: 7. Let +-() वे = -2 and -4 2 3 Find a real number x and a vector such that = -x and 17.

A:

Q: Suppose a and b are vectors such that axb=(1,

A: Given, a→ and b→ are vectors such that a→× b→=(1, 0, 2).

Q: Refer to the vectors below. b = [4, 3, 1] c = [1, -4, 1] d = [−1, −1, −3] Compute the indicated…

A:

Q: Let u and v be vectors in a Euclidean space. Select the best statement. A. The difference u - v may…

A: Givenu and v are vectors in Eucludean space.

Q: Let v = (7,8). Suppose w E R2 is perpendicular to v, and that ||w|| = 9. Find both possible vectors…

A: