Consider the vectors 'v (1, 0, 1) and w (2,0, -2). %3D (a) Are 'v and w perpendicular? (b) Show that for any scalar cER, the vector cw is also perpendicular to °v. (b) Find a vector that is perpendicular to both 'v and "w. Use this vector to compute the area of the parallelogram spanned by v and w.

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A: use determinant method to findout the volume.

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A:

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A: A detailed solution is given below

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Q: 2) Find the vector from the origin to the center of the sphere 2x2 + 2y² + 2z2 + 4x – 4z = 0. |

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