. Let v = (-5, 1, 3) and w = (3,4, 2). (a) Find the dot product, v•w , and the angle 0 between v and w. Give the angle in radians to four decimal places.

Q: If v x w = (-1, 4, 0) and v · w = 4, find tan(0), where 0 is the angle between v and w. tan(0) =

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Q: Find two positive and two negative angles that are coterminal with the angle given. Theta = pi/6

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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: If i x w = i- j+ k, and i · w = 4, and 0 is the angle between i and w, 2 - (a) tan 0 = (b) 0 =

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Q: Suppose the angle formed by the line y = 3x and the positive x-axis is theta. Find thetangent of…

A: The given equation of line is y=3x and theta is the angle between positive x-axis and the line.

Q: 1. Draw the three proportional triangles from this sketch: R

A: topic - similar triangles

Q: Find the angle between 360° and 0° (if in degrees) or between -21 rad and O rad (if in radians) that…

A: Here, we need to find the reference angle of the given angles. For (a), 685°=(2*360°)-70° Thus, the…

Q: - In the acute- angled triangle OPQ, the altitude OR makes angles A and B with OP and OQ. Show by…

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Q: Suppose v w = 5 and ||0 x w 3, and the angle between õ and w is 0. Find (a) tan 0 %3D (b) 0 = (in…

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Q: Find all angles between 0 and 277 satisfying the condition cosx = Separate your answers with commas.

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Q: B- Find the angle (in radian) between the planes 2x + 2y-z 3 and x + 2y +z 2.

A: The planes 2x+2y-z=3 and x+2y+z=2

Q: Let a = ci + j andb = 7i + 24j. Find c so that the angle between a and b is. Round your answers to…

A: The objective of the question is evaluate the value of "c" for the given vectors.

Q: Find the acute angle between the planes. Round to the nearest thousandth of a radian - 9x - 9y - 5z…

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Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and b is %3D Round your answers to…

A: Given a = ci + j and b = 3i + 4j. The angle between a and b is π6. We have to find the value of c.

Q: If a = (1,1,1), b| = 2 and tan 0 = (where 0 is the angle %3D %3D between å and b) then the magnitude…

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Q: Find the angle 0 between w = cos 플 i+ sin푸 7 cos플 i + sin and %3D

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Q: Find a positive angle less than 2x that is coterminal with the given angle. 43 43x A positive angle…

A: To find the positive angle less than 2π that is conterminal with 43π5.

Q: Let ( A) D = and BD= . Find the angle between BD and A D* O [cos] 2/N(30(21)) O [cos] (-1)…

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Q: Find the value of the six trigonometric functions of f, where A is the angle formed by the positive…

A: Find the value of the six trigonometric functions of f,where A is the angle formed by the positive…

Q: - In the acute- angled triangle OPQ, the altitude OR makes angles A and B with OP and OQ. Show by…

A: Our objective is to prove  p. q. Sin(A+B) =q.r.SinA+ p.r.Sin B

Q: If i x ũ = i- 3j – 4k, and i · w = 3, and 0 is the angle between õ and u, then (a) tan 0 = (b) ө

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Q: Let a = ci + j and b = 6i + 8j. Find c so that the angle between a and bis- Round your answers to…

A: We have to the value of c

Q: Let ZD be an acute angle such that cos D = 0.33. Use a calculator to approximate the m m/D

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Q: Find the six circular functions of the angle 0 generated by am 11n arc with a length equal to 6.

A: Given,  Arc length,  S=11π6 θ=Sr If we take r=1,  We get, θ=S Hence, θ=11π6radians or 330°

Q: A box has dimensions to inches 2"x 3" x 4" determine the angle theta formed by the diagonal 2" x 3"…

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Q: If å = (2,2,2), b = 2 and tan 0 = v3,(where 0 is the angle %3D %3D %3D between a and b) then the…

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Q: Match each angle on the left with its corresponding reference angle on the right. Unit Circle (cos,…

A: To match the given angles with the given reference angle.

Q: If A is the dgree measure of an acutre angle and sin A =0.8, then cos(90-A) = a) 0.2 b) 0.4 c) 0.5…

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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: Find the angle 0 between and 37 such that sec(0) = – /2. -

A: We can solve the problem by finding the angle between the interval.

Q: If v x w = (2, -2,5) and v · w = 4, find tan(0), where 0 is the angle between v and w. tan(0) =

A: Topic- Dot and Cross product of Vectors

Q: If y = tan-1 x, then y will be an angle between ____ and ____.

A: Consider  y = tan−1 x

Q: Find the angle  (in radians and degrees) between the lines. Round your answer to four decimal places…

A: If two non perpendicular lines have slopes m1 and m2 then the angle between these two lines is given…

Q: Suppose - w = 5 and ||i x u|| = 2, and the angle between i and w is 0. Find %3| (a) tan 0 (b) e

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Q: Find sin u and cos u if the given point lies on the terminal side of u.     (3,-4)

A: R=x2+y2sin u= y/Rcos u=x/R

Q: Find the acute angle between the planes. Round to the nearest thousandth of a radian. = 9x - 9y – 5z…

A: I have appended the formula used in the solution part.

Q: In the given image, e, = 0,, and the angles are measured in radians. Which of these must be true?

A: Here we use the relationship between arc length, angle and radius. We have the relation,       Arc…

Q: If a point on the Cartesian plane lies at (4, 2), what is the angle made between the line containing…

A: Using the given information, draw a figure and label it. We need to find the value of α i.e., 90+θ…

Q: Find the angle between two lines having slopes of 1, and 1/2 respectively. (A) sin (B cos (c) sec D…

A: In this question, we need to find the angle between two lines having slopes 1 and 1/2 respectively.

Q: Find the dot product ||v||=8,||w||=6 and the angle between them is theta = 240 degrees

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Q: Find the angle A between the ines

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Q: Find a positive angle less than 2T that is coterminal with the given angle. 19T 6. CO

A: 19π6

Q: Find a positive angle less than 2n that is coterminal with the given angle. 150

A: To find co-terminal we have to add or subtract 2π from the given angle

Q: Let a = ci + j and b = 3i + 4j. Find c so that the angle between a and b is. Round your answers to…

A: Given that a=ci+j and b=3i+4jand angle between these vector isπ6Solution:

Q: Consider the length h of the perpendicular from point B to side b in the given triangle. Show that

A: The triangle ABC is  We have to prove   ,where  the length h of the perpendicular from point B to…

Q: 1 and which is in the interval [0, n] is y = 2 The angle y whose cosine is- radians.

A: Given, cos (y)=-12  where 0≤y≤πEvaluate y

Q: Use a calculator to find the acute angles between the planes into the nearest hundredth of a radian.…

A: Angle between two planes a1x+b1y+c1z+d1=0 and a2x+b2y+c2z+d2=0 is,…

Q: Let a = ci + j and b = 6i + 8j. Find c so that the angle between a and b is %3D %3D Round your…

A: Solution is written in below steps.

Q: If å = (1,1,1), || = 2 and tan 0 = (where 0 is the angle %3D %3D between å and b) then the magnitude…

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Q: Find tan theta if theta  is the angle formed by the line y = mx and the positive x-axis

A: We need to find tanθ for the given equation of line