1. For an angle to be in standard position, which of the following conditions MUST be satisfied? i. it is drawn on the xy-plane ii. its vertex is at the origin iii. its initial side is on the positive x-axis iv. it is positive v. it is given in radians A. i, ii, iii B. i, ii, iii, iv C. i, ii, iii, v D. i, ii, iii, iv, v

Q: 4. Evaluate S. (z - 4) dz, where r is a contour from the two line segments, the first from z = -3 to…

A: The given question is related with complex integration. We have to evaluate the integral,…

Q: Find a b if ||a|| = 7, ||b|| = 8, and the angle between a and b is radians. 6 a.b=

A: To find a·b if a=7, b=8, and the angle between a and b is π6 radian.

Q: Let = 3 - 4 - 6 K, and = -2 +2 - 2k, Calculate , ull, lv • ull, and e (the angle between and in…

A:

Q: 20b. Find the coordinates of A' after A(-3, 4) has been reflected: Reflection in the x-axis: A'= I…

A: To find the reflections

Q: For Cartesian coordinates (x,y)=(1, -√3), find the angle in the polar coordinates in radians.

A: Use the formula for angle in the polar coordinates.

Q: Find a · b if |a| = 14, |b| = 9, and the angle between a and b is 7/2.

A:

Q: The angle between u and v is theta where costheta = 4/21. Find t if u = [6,4,-2] and v = [-2,t,-4]

A: Step 1:Step 2: Step 3: Step 4:

Q: 1. Find the cosine value of the angle of the two planes ( 71 : 2x– y+ z+2= 0, x2 : x +2y+ z-5=0)

A: Given two planes,  π1 : 2x - y + z = -2 π2 : x + 2y + z = 5 To find the cosine value of the angle of…

Q: What is the angle between the planes 3x + 2y + 4z = 4 and 3x -y+2z = 1 to the nearest degre %3D O…

A:

Q: Find the cosine of the angle between the following two planes. -1x -4x cos 0 = [3]/[2(sqrt(15))] +2y…

A: -x+2y+5x=-1-4x+3y-5x=1

Q: WWW 45. Convert the polar point (4, 5) to a Cartesian point. A. (-) B. (-) C. (2√3, 2) D. (-2,2√3)…

A:

Q: 3. For v = (1,2,3) and w = (1, -4,2), find v+w, 3w, vw, and the angle between v and w in radians and…

A: Here is the solution:

Q: Determine ξ so that the points P1(4, −3), P2(ξ, −8), and P3(12, −21) are the vertices of a right…

A:

Q: 4. Find the angle between w = –3i + V33 and =

A: Angle between two vectors is given by,

Q: Find the angle between the planes 6x + 7y= - 4 and 8x + 3y + 3z = - 17. The radian measure of the…

A: