Activity 9.4.3 a. Find the area of the parallelogram formed by the vectors u = and v (3, 0, 1). (1,3,-2) b. Find the area of the parallelogram in R³ whose vertices are (1,0,1), (0, 0, 1), (2, 1,0), and (1,1,0). (Hint: It might be helpful to draw a picture to see how the vertices are arranged so you can determine which vectors you might use.)

Q: 7. Vectors vị, V2, and u are shown below: V2 Let B = {v1, v2}. Find the coordinates of [u]g. (w» [)…

A: From the given graph we can infer that v1=(2,1) and v2=(-1,3) and u=(4,5)B={v1,v2}AX¯=bHere…

Q: 4. Prove that the vectors a= (1,1,1); b-(1,-1,0) and e-(-1,-1.2) are orthogonal to each other! 5.…

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Q: Consider the vectors (2, 1, 0, 2], [3, 1,0, 1], [1, 1, 0,-1] in R'. Decide whether they independent.…

A: Given: Vectors in ℝ4,                              2,1,0,2, 3,1,0,1, 1,1,0,-1 To find: Whether the…

Q: Sketch 2v, -w, v+w, and 2v-w for the vectors in Figure 24. 5 y 4 3 v = (2,3) 2 1 w = (4, 1)

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Q: Which shows the image of the figure under a translation by the given vector? ADEF with vertices D =…

A: In this question we have to find which graph best describe the translation when vector is given.

Q: Use the cross product to determine the angle between the vectors [4, 5, 2] and= [-2, 6, 1]. Verify 9…

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Q: Find the component o7 Position vector of the incenter o7 a triangle having vertices Pi Cl.-l,2),…

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Q: 21-24 - Area of a Parallelogram Find the area of the parallelo- gram determined by the given…

A: (21) Given vectors are u=3,2,1 and v=1,2,3 Area of the parallelogram =u×v…

Q: he vector component of A = 4 + 3ŷ + 62 along B=-2â+ 6ŷ + 42 is: O a. -1.21âx+1.82ây+-4.14âz O b.…

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Q: 27. Determine the area of the parallelogram formed by the vectors u=[3,-2,5] and v=[-1,4,2].

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Q: a. Without doing any calculation, explain why one might conjecture that two vectors of the form (a,…

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Q: Linear Algebra  1)Calculate the area of the parallelogram in which three consecutive verticesare…

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Q: Which of the following pairs of vectors are orthogonal? Our(1, 1, -1), v 2, 2, 2 ) Ou(1,0, -1), v(…

A: Two vecors are orthogonal if their dot product comea out to be zero.

Q: Consider the parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3, -1) Find AB and AD,…

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Q: 2. Determine the volume of the parallelepiped formed by the following vectors (a) ā = (2, –6, 2), 5=…

A: Given: a. a→=2, -6, 2, b→=0, 4, -2, c→=2, 2, -4. b. a→=4, -8, 1, b→=2, 1, -2, c→=3, -4, 12. To be…

Q: ABCis a triangle andP,Qare the midpoints ofAB,ACrespectively. IfAB= 2xandAC= 2y, express the vectors…

A: Vectors

Q: Add the vectors ú (0, 3) and v = ( – 2, – 1) graphically.

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