4.) Here are three vectors in R": (1,2,0,3), (2,1,3,2), (0,0,1,2) Find the three dimensional volume of the parallelogram determined by these three vectors. Hint: Recall that this volume equals to det ((U; U;)). T

Q: 2. Find the volume of the parallelepiped having a = (1,4,–7), b = (2,–1,4) and c = (0,-9,18) as…

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Q: Compute each of the following: (a) The angle between the vectors v = and w = . (b)  The projection…

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Q: #1. The area of the parallelogram spanned by the vectors v = (A) – 22 (B) 22 (C) 23 (D) 8 (E) 2 (5,…

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Q: 4.) Correct of K vector representation for of terms B the velatie. positive normal and tangential…

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Q: 2.b) Which vector is not normal at the plane defined by 2x - 4y-6z+1=0?

A: The solution is shown in step-2

Q: 2. If X(-2, -6, 5) and Y(3, -4, 1) are two points in R³ , determine: a) XY b) | XY | in reduced…

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Q: The plane with normal vector (6,-5, 1) containing the point (0,-2,3) has equation Ax+By+Cz = D. If…

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Q: If the points P, Q, R, not all lying on the same straight line, have position vectors a, b, c…

A: Given that the points P,Q,R not all lying on the same straight line and with position vectors a,b…

Q: Given vectors ū = (2,-1, 3) and = (1,0,2), determine the following: a) The angle between i and (to…

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Q: The plane with normal vector (4, 6, 7) containing the point (-5,-1,5) has equation Ax + By + Cz = D.…

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Q: 3. A point P(3,0,5) lies on a plane that can be defined by the scalar equation Ax+By+Cz+ D = 0. A…

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Q: In triangle △ABC, let vectors a = BC, b = CA, and point T be the centroid of triangle △ABC. Then the…

A: Option C is the correct option. That isAT=31​(−a−2b) Explanation:Step 1:Step 2: Step 3: Step 4: