9) If the vector w = (1,-4, 9, 18) can be (1,-1,3, 5) and v₂ = (2, 1, 0, -3) th are: 0000 O a=3, b=-2 O a=2, b=-2 O a=3, b=-1 O a=5, b=3

Find a vector orthogonal to both ⟨1,−10,0⟩ and to ⟨0,7,4⟩ of the form <1,blank, blank>

7) PLEASE BE CLEAR IN YOUR ANSWER, THANKS!

4) IF = (6₁-8) m, B = (-8,3) m, AND A = (26, 19) m, FIND THE UNKNOWN CONSTANTS AND B SUCH THAT ab + b3 + ² = 0 а FIND THE MAGNITUDE OF THE VECTOR THAT SATISFIES THE EQUATION 27-68 +3 = -2y, WHERE Z = X-2Z ANB B ==y+12 =(5it6j +0.3 k) km 6) IF THE VELOCITY VECTOR OF A CAR IS WHAT IS THE UNIT VECTOR OF ITS DIRECTION MOTION?

Find the vector equation for the line of 5x + 3y - 2z = −1 and 5x + 5z = -4 intersection of the planes r = = 0,0) + t(15,00)

Determine if u = (0,3, -4) and v = (1, -8, -6) are orthogonal, parallel or neither.

(5,-3,8) and강 = (%.2,) | = 2 Given u k, 2, 4) calculate k, by using only vector concepts, where u Leave your answer as an exact value in simplest form.

a. A nonzero vector perpendicular to both [-1. 3, 4] and [-2. -1, 3].  b. The distance from (2, -1, 3) to (4, 1, -2) in R^3   c. Find v*w (dot product) such that vector v [-1. 3, 4] and w [-2. -1, 3]

Write a (0, 3, 0) as the sum of two vectors, one parallel and one perpendicular to 6 If a 18 1 = = = ả tải, then: (0,4,0) X = (0, 4, 3).

Determine whether each vector can be used as a primary combination of vectors in S.     Please write in alphabetical words