1. Let @ be the acute angle between the planes x + z = 1 and x - y - 4z = 3. Then cos equals A. B. C. D. E. 131 N C +11 NI 11 3

Q: 2. What is the tangent ratio of angle B? A оо о с tane = A AC tane= tane tan0 = Ac BC ВС В

A:

Q: Suppose v. w = 6 and ||7× w|| = 4, and the angle between ỹ and w is 0. Find (a) tan 0 = (b) Ө —

A: v · w= |v| × |w| × cos(θ) =6 v × w = |v| |w| sin(θ) =4

Q: The angle between (8, 4) and (2, –1) is O right. obtuse. O acute.

A: We will find the angle between given two vectors as shown below

Q: For the angles a and ß pictured below, find the exact value of sin(a – B). (Approximations using…

A: Let us first find the angle α. We have α=tan-143=53.13∘ . Now, let us find the angle β. We have…

Q: Suppose u = (1,1,–2), v=(3,-2,1), and w =(0,1,-5). Find: %3D (a) The cosine of the angle between u…

A: We will answer the first three subparts of this question as per our guideline. Please resubmit the…

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: Q: If each of a, ß and y is a positive acute angle such that sin (a +B-7)=.c B-r)=.cos (B+y-a)= and…

A:

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: If 0 is the angle between (a) 1/2 (b)-1/2 and 2 then cos equals (c) 0 (d) 1

A: Given: is the angle between  and .To find: .

Q: The angle between V = i-2j + 3k and V2 = 3i – 2j +k is 0.44. True False

A:

Q: Assume the given point is on the terminal side of an angle in standard position. Determine the exact…

A: given point is (4,3)

Q: The picture below shows an angle. Which of the answers is coterminal with that angle? (-1,0) 4 50.…

A:

Q: Q.5 What is the cosine of the angle between PP, and PP If Pi(2,1,3), P2(-4, 4, 5), P3(0, 7,0) and…

A:

Q: Suppose i· w 7 and ||i x w|| = 4, and the angle between v and w is 0. Find (a) tan 0 = (b) 0 =

A: Given that: v.w = 7 for dot product we know that: v.w = |v|*|w|*cos  |v|*|w|*cos  = 7 Given that:…

Q: 2n 5. Evaluate sec using reference angles. 3

A:

Q: EXERCISE 3. Calculate a x b when la = between 1, b| = 3 and the angle a and b is 0 = 30° %3D

A: Given that |a|=1 and |b|=3 The angle between a and b is 30°

Q: What is the angle between A and B, if A = 3.0 i +5.0j and B = -3.0 i +7.0 j. Equation: A.B=AB cos 0

A:

Q: Let = -2- 4 V u = −2+ 4 Calculate , ul, (the angle between (2 decimal places) lull = + 5 K, and -…

A:

Q: LET AB BE A 17 FEET LADDER, WHICH LEANS AGAINST A WALL. THE LADDER MAKES A 60 DEGREE ANGLE WITH THE…

A:

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

A: Angle between two vectors is given by,

Q: 2 If A(x₁, y₁), B(x2, ₂) and C(x, y) are the vertices of triangle ABC and x+y=x+y=x+y. then show…

A:

Q: PÓ and Let P = (-2,0, 5), Q = (3, 1, 1), and R = (0,0, 4) and define a = b = PR. Find (a) The cosine…

A: The answer is given as follows: