Find the dot product v•w and the angle between v and w. v= -i+4j- 2k, w = 3i +j+4k

Q: Find the component form of the sum of u and v with direction angles ey and Oy. Magnitude Angle ||-||…

A: The x, y  coordinates of the vector are given as rcosθ and rsinθ respectively. The component form is…

Q: Use the dot product to determine whether v = i + j and w = -i + j are orthogonal.

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Q: Find the dot product v*w and the angle between v and w. v = 2i + 2j - k, w = i + 2j + 3k

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Q: Find the angle between m and n if: and n = b m = 2j – k and n =i+ 2k a m = -1 2

A: m=2-1-1  &  n=-132 Now, m·n=2-1-1·-132=2-1+-13+-12=-2-3-2=-7 & m=22+-12+-12=6 n=-12+32+22=14…

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Find u+v

Q: Determine the measure of the angle in radians between the planes. 4x - 5y + 5z = -6 y -6x - 9y + 3z…

A: Let, A1x+B1y+C1z+D1=0 and A2x+B2y+C2z=0 be the equation of two plane. Then the angle between two…

Q: Find the component form of v given the magnitudes of u and u + v and the angles that u and u + v…

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Q: Find the direction cosines of u and demonstrate that the sum of the squares of the direction cosines…

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Q: Find the dot product v*w and the angle between v and w. v = 3i - 4j + k, w = 6i - 8j + 2k

A: Find the dot product  v·w.

Q: Find the dot product v*w and the angle between v and w. v = 2i + j - 3k, w = i + 2j + 2k

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Q: Find the (a) dot product A B and cross product B x -A if A = 12 in directed at 33' and B = 16 in,…

A: Here we use the dot and cross products formula in terms of length and angel.

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Given: The magnitude and direction of two vectors  u=9, θu=0°v=2, θv=60° To find the component form…

Q: Find the dot product v• w and the angle between v and w. v = -j+k, w =i+j+k

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Given a vector u that makes an angle θ with the positive direction of the x-axis .Then , u = u cosθ…

Q: Use the dot product to find the magnitude of u. u= 24i – 28j a. 1362

A: detailed solution is given below

Q: Given the vectors v and u, answer a. through d. below. v= 10i + 11j - 2k u=7i+24j a. Find the dot…

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Q: Find the dot product v · w. 1) v = i +3j, w = 5i - j 2) v = 5i - 2j, w=i-j Find the angle between v…

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Q: Use the dot product to determine whether v = 2i - 2j and w = -i + j are orthogonal.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Given the vectors v and u, answer a. through d. below. v = 2i + 3j - 6k u= 5i + 12j a. Find the dot…

A: Given v=2i+3j-6ku=5i+12jWe know that i.i=j.j=k.k=1i.j=j.k=k.i=0

Q: Use dot product to find the interior angles at A, B, and C of the triangle defined by the three…

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Q: Find the angle θ between u=2i-3j+6k and v = 2i + 5j - k.

A: cosθ=u.vuv

Q: Convert the point (p, 0, þ) = (2V2, 4' 6 2v2. 플, 증) to rectangular coordinates (x, y, z). What is…

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: The lengths of u and v and the angles that u and v make with the positive x-axis are given as  : ||…

Q: Find the dot product of u and v. u=4i-3j v=i-j

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Q: use the dot product to determine if v and w are orthogonal. If the vectors are not orthogonal, find…

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Q: Find the dot product 9) v = 12i + 9j, w = -10i – 8j

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Q: Find the dot product v*w and the angle between v and w. v = i + j, w =i + j - k

A: Given: v=i+jw=i+j-k To Find: The dot product of vector v and w and the angle between v and w.

Q: Use dot product to find the interior angles at A, B, and C of the triangle defined by the three…

A: HINT:  To calculate the angle we need the following thing: cos(α) = A.BAB We need to calculate AB…

Q: Use the dot product to determine whether v= 12i - 8j, and w= 2i + 3j are orthogonal.

A: It is given that, v=12i-8j and  w=2i+3j

Q: Show correct answer from the multiple choice options.

A: v.w = (7i + 4j).(14i - 9j) = 7i.14i + 4j.14i -7i.9j - 4j.9j  = 7 x 14 - 4 x 9 [As i.i = j.j = 1 and…

Q: Q9) The scalar product (Ã ·Ê) with angle 180° would produce: * O AE O Zero O (-AE) O (A-E)

A: Option third is the correct option. Let the modulus for vector A be A and vector B be B. Use the…

Q: Determine the dot product a) Ā = and B = b) Á = and B c) Á = 5, ||B = 32 and the angle between the…

A: (a) Given that A→=<9,4,-5> and B→=<3,-2,7>

Q: Let A = (1,0, 2), B-(-2,2, 4) be two points, i = AB und i= -i+3j+k. Find 27 – 30 = Find the dot…

A: First find the vector u than do as instructed in question.

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: To find the component form of u+v

Q: If the two vectors are in the following figure, find an area parallelogram A=i+j-k B=2i-2j+2k

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Q: Find the dot product v • w. v = 6i + 8j, w = – 13i – 8j O A. - 78 А. О В. - 14 О С. -64 O D. - 142

A: Explanation of the answer is as follows

Q: Given the vectors u 4i – 2j and i 8i 101, perform the operations below. +几

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Q: Given the vectors v and u, answer a. through d. below. v 11i- 9k u=i+j+k a. Find the dot product of…

A: Vector Question

Q: Please answer the question in the attached image about 3D trigonometry

A: G is on the YZ plane Coordinate of G is (0,5,6)

Q: Find the angle between u and v in radians. u = 4j - 2 k, v = 8 i - 3 j- 10 k O 0.14 1.43 1.57 1.53

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Q: Find the angle between v and w. V = 2i +j- 3k and w = i+ 3j - 3k 30.9° 50° 66.8° 59.1°

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the dot product v•w and the angle between v and w. v=i-k, w=i-j+k

A: here we have to find the dot product and angle between given vectors. the solutions is following.

Q: Given the vectors v and u, answer a. through d. below. v = 6i - 3k u=i+j+k a. Find the dot product…

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Q: Find the cross product a × b. a = j + 6k,    b = 3i − j + 3k

A: Solving the problem by obtaining the cross product of the vector.

Q: Given the vectors v and u, answer a. through d. below. v= 6i + 2j- 3k u = 3i + 4j a. Find the dot…

A: We can find the dot product as below.

Q: Q9) The scalar product with angle 180° would produce

A: The scalar product of two vectors A→ and B→ is given byA→·B→=AB cosθWhere,A is magnitude of A→B is…

Q: Find the dot product v• w and the angle between v and w. v= - 4i +j+ 2k, w = 3i +4j + k

A: The given vectors are: v=-4i+j+2k, w=3i+4j+k

Q: Use the geometric definition of the cross product and the properties of the cross product to make…

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Q: Find the component form of v given the magnitudes of u and u + v and the angles that u and u + v…

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