nd the direction cosines of u and demonstrate that the sum of the squares of the direction cosines is 1. = (a, b, c) os(a) os(ß) = cos(y) =

Q: E C A In the figure, we have a pentagon; if zC = D = ZE , what is the mzD? D

A: Explained below...

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: The vector v has,magnitude, v=2angle, θ=0°

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.

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Q: O 3. What kind of relationship do QR and QU have in this picture? Jw R. parallel O noncoplanar O…

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

A: we find direction cosine with x, y and z axis..

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: 44. Use the cross product to find the area of the triangle with vertices P = (1, 1, 5), Q = (3, 4,…

A: If triangle T spanned by two non zero vectors u, v Then the area of the triangle is given by…

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: For v = - 2i - j and w = 2i + j, find the dot product v # wand the angle between v and w.

A: Given: v=-2i-jw=2i+j To Find: The dot product of v and w and angle between v and w

Q: Find the value(s) of a making i = 2ai – 3j parallel to u = a? i+3j. %3D a = (If there is more than…

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Q: Find the component form of v if ||v|| = 6 and the angle it makes with the x-axis is 150°.

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||…

A: If you want answer for another question, kindly do upload that separately.

Q: Q1 : Find the angle between u = 2i + j- 2k and v = i+j+k.

A: The angle between two vectors: - Consider two vectors a and b that are separated by an angle. Then,…

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: Transform triangle ABC according to (x, y) → (x + 3, y – 2). Write the coordinates for triangle…

A: The triangle ABC has tranformed into (x,y)→x+3, y-2

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

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: In a parallel electrical circuit the impedance Z can be calculated using the equation Z= 1 where Z,…

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Q: Find x so the distance between (x, 2) and (1, 4) is v 5.

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Q: 10. Find the area of parallelogram that has u and v as adjacent sides. u=i-j+2k,v=3j+k

A: We use the formula ,the area of the parallelogram is =|u×v|

Q: Find the area of the parallelogram that has two adjacent sides u = 3i - 2j - 2k and v = 3i + 2j - 2k…

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Q: Evaluate eリ+1 dA D where D is the triangle with vertices (0,0), (-1, 3), and (6, 2).

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: The vector v is given with magnitude, v=5 and angle is θ=120°. To find: the component form for the…

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

A: Given query is to find the component from of u+v

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: Given that, Magnitude of v is :  ||v|| = 8  and angle with the positive x-axis is θ= 60°. Suppose,…

Q: 3. Find the value(s) of a for which ở = (-1, 2a – 1,3) and w = (2,2a + 3,–6) are parallel.

A: Two vectors  are parallel  is their cross product  is zero. So calculate  cross product  in the…

Q: Find the area of a triangle formed by the lines 2x + 3y = 24, I- 2y = -9 and the y-axis. O 21/2 sq.…

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Q: 2) sin(r) dA, R is the triangle with vertices (0,0), (2,0), and (2, 4). R.

A: First finding the line equation And drow the region in figure

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 u=9, θu=0° v=2, θv=60°

Q: Find the value of x in the figure below if RE is parallel to PM. A 6. R E 18 O 21 units O 16 units O…

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Q: b) Determine the gradient of each side of the triangle c) Using your answers in a) and b), justify…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: We know that component of a vector v→ having magnitude v and making an angle θ with positive x-axis…

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: here the vector make 0 degree with x axis it means it is on x axis  so its components are (x,0,0)…

Q: 5.12 Find the center of: a) V; b) Qs-

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Q: ind the cross product a × b. a = i + 5j - 3k, b = -i + 4k

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Q: 8) Find the component form of v given ||v|| = 2/3 and the angle it makes with the positive X-axis is…

A: The magnitude of v is given as v=23 The given angle is θ=45∘ The objective is to find the component…

Q: 4. Consider the following figure: A(1,1,0) D В-1,-1,-1) C(2,2,0) a) Find the coordinate of D if…

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Q: Let f (2) = ?. Let C1 be the circle |2| : counter-clockwise direction, C2 the circle z – 8 = 7 in…

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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: This question is based on vectors.

Q: a. If the figure is translated 4 units left, what are the coordinates of J'?

A: Given: To Find: If the figure is translated 4 units left, what are the coordinates of J. Concept:…

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

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Q: Q2 Find the angle between the m If Ā =2i-10j - 11k and À xB , CẦXB) Ä 3 = 2i +2j+ k

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Q: Let C be the closed contour (blue) given in the below figure. C -1 -2i+3e2z dz? (z+7i)8 Which of the…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: Consider a vector v having its magnitude ||v|| and angle θ which makes from the positive x-axis,…

Q: (i) Find the direction cosines for v = 2, 3, 4 .  (ii) Verify that the sum of their squares equals…

A: We know that If the vector is xi+yj+zk=(x,y,z) and  r=length of x,y,z =√(x2+y2+z2) Then the…