Let u = 3i + 2j and v = 5i - j. a) Find the angle between u and v. b) Find the component of u along v. c) Find projvu.

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: Find the value of A which is defined as the angle between i+j and j+ k.

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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: Let a = 2i +j- 2k and b = 2i + 4j + 3k %3D (а) Determine whether a b and a +b are orthogonal,…

A: To fins a) and  b)

Q: Let a = ci + j and b = 9i + 63j. Find c so that a and b are orthogonal. C = i

A: Let's find.

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: Let a = ci + j and b = 4i + 32j. Find c so that a and b are orthogonal. %3D i

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the angle between u=i_2j_2k and v=6i+3j+2k

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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: Use the alternative form of the dot product to find u · v. |lu|| = 50, ||v|| = 20, and the angle…

A: Given: u=50, v=20 and angle between u and v is 5π6 We know that u·v = uvcosθ, where θ is the angle…

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: Let a = ci + j and b = 6i + 36j. Find c so that a and b are orthogonal. C = i

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Q: Rearrange the formula to make v the subject. V - u t = a %3D V =

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Q: Find u · v, where 0 is the angle between u and v. ||u|| = 100, ||v|| = 230, 0 6

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

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Q: Use the alternative form of the dot product to find u · v. |lu || = 30, ||v || = 10, and the angle…

A: Let's find.

Q: Find the component form of the sum of u and v with direction angles θu and θv. Magnitude u= 10…

A: Given  Magnitude u=10       θu=45∘v=30     θv=180∘

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

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Q: Let a = ci + jand b = 2i + 14j. Find c so that a and b are orthogonal. i

A: Given that,a=ci+j and b=2i+14j

Q: Find u · v, where 0 is the angle between u and v. ||u|| = 4, ||v || = 64, 0 4

A: Directly use the formula for dot product of two vector and simplify the result.

Q: Find the component form of v, where  u = 2i − j and w = i + 2j. v = 1/2 (5u + w)

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Q: Let a = ci +jand b 7i + 56j. Find c so that a and b are orthogonal. %3D %D C =

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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: topic - vectors

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: I am attaching image so that you understand each and every step.

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: Find the component form of v, where u = 5i − j. v = 9/5u

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Q: 7. Find the angle betweenu and v. u = 6i and v = 5i+ 4j

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

A: Given: v=i-3jw=-i+j……1

Q: Find the angle between u=3i+2j and v=-4i

A: Given,          The two vectors are u=3i+2j and v=-4i.

Q: Exercise 1:If 0 is the angle between vectors a and b, show that projab. projpa = (a.b) cos (0) COS

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Q: Let a = ci + jand b = 6i + 54j. Find c so that a and b are orthogonal. C = i

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Q: Let a = ci + jand b = 8i + 40j. Find c so that a and b are orthogonal. c = i

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Q: Find the angle between AtZB and B+.A ?where F= i+2j-3K and B = 3i-j + 2K Parallel to

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Q: Let u = 3ai +j+ 4ak and v = 3i + (a+3)j – 4k. (a) Find the values of a if u and v are orthogonal.…

A: The given vectors are u=3αi+j+4αk and v=3i+(α+3)j-4k. (a) It is given that u and v are orthogonal.…

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

A: Let's find.

Q: 2π ||미 = 4, ||v|| = 16, 0 = 3 %3D %3D %3D

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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…

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

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Q: Make all obvious simplifications.

A: As per guidelines we have to solve 3 subparts

Q: Let a = ci + jand b = 6i + 30j. Find c so that a and b are orthogonal. c = i

A: The vectors are given by a = ci+j b = 6i+30j Condition for orthogonal vectors:  a·b = 0 To evaluate:…

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: Let a = ci + jand b = 4i + 36j. Find c so that a and b are orthogonal. C = i

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Q: Find the angle between v and w. Round to one decimal place. V = 2i + 3j + k and w = 2i + 5j + 3k %3D…

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Q: et a = = = ci + j and b = 4i + 20j. Find c so that a and b are orthogonal. i

A: Please refer to the image below

Q: For vectors v and w E R, show that: (a) |u x v||? = ||u||2 ||v||2 – (u - v)2 (b) ||u x v|| =…

A: derive a formula for the magnitude of v×u, for nonzero vectors v,u:…

Q: Let u=2i+7j and v=3i+j. Find the angle (in degrees) between u and v.

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