2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 = 3 + 2x + 5x². pi i. -9-7x - 15x² ii. 6+11x + 6x² = iii. O iv. 7 + 8x + 9x² b. Suppose that vi = = (2, 1, 0, 3), v₂ = (3, −1, 5, 2), and №3 = (–1, 0, 2, 1). Which of the following vectors are in span {1, 2, 3}? i. (2, 3, -7,3) ii. (0,0,0,0) iii. (1,1,1,1) iv. (-4, 6, -13, 4)

Q: Calculate [1, 2, 2] x [5, -5, -1] -

A:

Q: Write v as the sum of two vector components if v = i +3j and w = 2i+j. O v = (-2i+2j) + (i +j) Ov=…

A:

Q: If ö1 = (3, – 3) and v2 = (– 8, 8), then find 601 + 702. Type your answer in component form, (where…

A:

Q: 35. For m = (-5, -6) and = (6, −9) find the sum of the vector three times the magnitude of m and the…

A:

Q: Solve the following vector equation:

A: Introduction: The graph of a system of two equations in two variables (x and y) is a pair of lines…

Q: Let a (6,7, –2) and b = (4, 4, –1) be vectors. Compute the following vectors. A. a + b =( 10 11 -3…

A:

Q: If possible, find a linear combination of the form w = a₁v₁ + a₂V₂ + a3V3 where v₁ = (2, -1, 4), V₂…

A:

Q: X₁ A. 2 -4 O C. 7 -5 HHH + X3 1 Choose the correct answer below. + X₂ 2x₁ + 7x₂ + 5xX3 = 0 4x₁ + 5x₂…

A:

Q: 5. Write the components of the following vectors: 5a. ˆı, 5b. −7ˆȷ, 5c. 4ˆı + 9ˆȷ, 5d. 5ˆı − 3ˆȷ.6.…

A: The objective of the question is to write the components of the given vectors and to express the…

Q: On the grid below, draw the following vectors: a = −2i+3j b = -4i+2j c=5j

A: Given

Q: 5. Name each vector then write the vector in component form

A:

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

A: