Question 1 (1 point) Which of the following vectors is not perpendicular to vector u = (-5, 2, 1)? Ov= (-2, - 10, 10) Ov = (1, 2, 1) Of = (3, 7, 1) 07 = (4, 5, 8) Question 2 (1 point) If Car A is travelling north at 50 km/h and Car B is travelling south at 60 km/h, the velocity of Car A relative to Car B is 110 km/h north 110 km/h south 10 km/h north 10 km/h south Question 3 (1 point) If w/ , " and w are mutually perpendicular vectors, which of the following would not be true? = 0 Of W x7) =0 WV+ 7) =0 Oux v. ux w =0Question 4 (1 point) The plane (x, y. z) = (4, 2, 1) + s(1, 1. -2) + t(2, -1, 3], converted into scalar form, has equation Ox- Ty - 3z + 13 = 0 3x+2 - 13 =0 4x + 2y+2 - 5 =0 2x - y - 67 =0 Question 5 (1 point) Suppose of and v are non-zero, parallel vectors. Which of the following could not possibly be true? Out u = 2 20 utv=0 Question 6 (1 point) Given three vectors, 1, v. and w, if u - (1 x w/ ) = 0. what geometrical result can be concluded? fand wi, are parallel, and both are perpendicular to u, U and of are mutually perpendicular u w and of are on the same plane O One of u, v or w must be O. -+Question 7 (1 point) To the nearest tenth, the angle between p = (1, -5] and v = (4, 6) is Question 8 (1 point) The length/magnitude of the vector C = (2, -3, 1) is Question 9 (1 point) The cross product of vectors a= [-1, 4, 6) and b = (3, 0. -2) is Question 10 [1 point) For the points A[1. 5, -7) and B(3. 0, 1) vector . has coordinates Question 11 [1 point) If we = [2, 1, 5) and 74 = (3, 0, x) are perpendicular, then the value of x is Question 12 [1 point) If the point (4, -4. g) is on the line (x, y. z) = (8, 0, -2] + t(1, 1, 3), the value of g is Question 13 [3 points) Find the equation of the following lines in the required form: 1. through the points P(1. -3, 2) and Q(9, 2, O) [vector equation] 2. with direction vector d = (5, 3, -4) and z-intercept 7 [symmetric equations] 3. through T(2, -5] and perpendicular to the line 3x - by = 5 [scalar equation] Blank # 1 Blank # 2 Blank # 3 Question 14 [1 point) The dot product of vectors p'= (3, -5) and q = [15.9) isQuestion 10 [1 point) For the points A[1, 5, -7) and B(3, 0, 1) vector AD has coordinates Question 11 [1 point) If m. = [2. 1, 5) and 7 = (3, 0, x) are perpendicular, then the value of x is Question 12 [1 point) If the point (4, -4. g) is on the line (x, y, z) = (8, 0, -2) + t(1, 1, 3), the value of g is Question 13 [3 points) Find the equation of the following lines in the required form: 1. through the points P[1. -3, 2) and Q(9, 2, O) [vector equation] 2. with direction vector d = (5, 3, -4) and z-intercept 7 [symmetric equations] 3. through T(2, -5] and perpendicular to the line 3x - by = 5 [scalar equation] Blank # 1 Blank # 2 Blank # 3 Question 14 [1 point) The dot product of vectors p'= (3, -5) and q = [15.9) is Question 15 [1 point) The vector U = (3, 4) is projected onto the x-axis The length of the projection is Previous Pipe How Pape Page 2 of 4 Submit Qula O of 39 questions savedQuestion 15 [1 point) The vector U = (3, 4) is projected onto the x-axis The length of the projection isQuestion 16 [1 point) A notation for derivative is: O Ofdix) lim Of(x) Question 17 [1 point) Which of the following functions would produce a derivative containing an x 5/3 term? Ov=x 6/3 Ov=x 2/3 Oy=x 8/3 Ov=x 4/3 Question 18 [1 point) Which of the following is not an equivalent way of expressing the term "derivative?" instantaneous rate of change slope of the tangent average rate of change slope of the curve Question 19 [1 point) The derivative of (x - 2)5 is 5(4x 34 5(4x4 - 214 O 20x(x4 - 214 20x (x4 - 214Question 20 [1 point) Which of the following expressions can be used to determine an average rate of change for the function y = f(x)? fath) - fla) O lim fath) - fla) A-0 Of' (ath) Of (a) Question 21 [1 point) Listed below are three types of functions. Which does not possess a derivative of the same type? exponential function sinusoidal function cubic function