Consider the following. u=i+j+k v = 2i +ì-k Find u x v. Determine if uxv is orthogonal to both u and v by finding the values below. u (ux v) =D v (ux v) %3D Ouxv is orthogonal to both u and v. Ouxv is not orthogonal to both u and v.

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A: A detailed solution is given below

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A: The plane that passes through the point,       -2,1,1, 0,4,7 and 1,0,-1

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A: Please see the answer below.

Q: (d) Find the range of f(x). O (-3,4] O [-3,3] O [-3,1) U (1,4] O [-3,4] O (-3,2) U (2,4] O [-3,2) U…

A: From the given graph we can see that the value of f(x) are varying between -3 and 4.

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A: Let's find.

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A: Explanation of the answer is as follows

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Q: Consider the following. u = 3i - j - k, v = -i + 5j + 7k %3D (a) Find the projection of u onto v.…

A: Given :  u=3i-j-kv=-i+5j+7k   To Find: a)Projection of u onto vb)Vector Component of u orthogonal to…

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A: gx=5x-x3hx=3x+4fx=5x-x33x+4

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A: Follow the procedure given below.

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A: To find the first derivative of the given function.

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A: The given problem is solved below in detail.

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A: 2(x2+y2)2=25(x2-y2)2(x4+y4+2x2y2)=25x2-25y22x4-25x2=-25y2-2y4-4x2y22x4-25x2=-25y2+2y4+4x2y2different…

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A: We can solve this as follows:

Q: 6. Rewrite the following as a single trigonometric function: sin? x COS x + COS x (Hint: Use the…

A: Topic = Trigonometry