Consider points A(0, -1, 2) and B(2, 1, -2). What is the length of vector AB? oo √21 √24 √18 0 √3

Q: Consider three vectors u = 3i +j+ ak, = 2i + bj +k, = -4i + (b – 2)3 + (b+ 8)k, where a and b are…

A: The solution are next step

Q: C A

A: We use Triangle law

Q: Let ū= 2 + 2Ĵ - 2k and J = 2î - 2Ĵ + k. + Verify that the vectors i and I are perpendicular and have…

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Q: Find a vector v such that ||v||=20 and v is in the same direction as 15i+15j.

A: The parallel vector of a vector is the scalar multiple of the vector, and if scalar is positive then…

Q: What is the area of the parallelogram formed by the vectors v = (1,0, 1) and w = (0, 2, 2) tail to…

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Q: {0·0·0} - {0·8·0} - {0···0} II. I only B II only CI and II only DI and III only

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Q: given u=5i+j+(a+2)k  and v= (3b-1)j +4j+ 6k  determine a,b so that v are parallel vectors

A: Given that, u=5i+j+(a+2)k  and v= (3b-1)j +4j+ 6k  We have to determine a,b so that u and v are…

Q: Construct the vectors a = 3k - 2j and b = 3i - 2j and c = ax b. Compute the absolute value of the…

A: Given data : a⇀=3k-2jb⇀=3i-2j To calculate c=a×b The value a×b=ijk0-233-20

Q: It is possible for two nonzero vectors to have a dot product of 0. True False

A: Let u and v be two nonzero vectors

Q: Determine the real number ? such that vectors a = 3i + 2j and b = 6i + ?j are orthogonal.

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Q: 21A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, and C = i-2j+ k, find (A x B).C

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Q: 2. Which polygon is the translation of polygon 1 by: (a) vector AB? (b) vector BC? EN B 3 4 nob C…

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Q: The vectors į+j and i-į are perpendicular. True False

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Q: Show that if the vectors v, w are orthogonal, then ||v + w||^2 = ||v||^2 + ||w||^2.

A: Given: The vectors v, w are orthogonal, then ||v + w||^2 = ||v||^2 + ||w||^2.

Q: Let u=j-5k, v=5i-j+k, w=-10i+2j-2k Which vectors, if any, are perpendicular? Which are parallel

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Q: Find the distance d between the points P₁(7, 1, 10) and P₂(−3, 10, 3) by first finding the vector v…

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Q: Find the values of x such that the angle between the vectors and is 45°.

A: Given that The angle between the vectors 6,1,-1 and 1,x,0 is 45°.

Q: Find the length of the vector v = (9, 3, 9). ||v|

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Q: Express the vector as a product of its length and direction. 21+4j+4k O A. 6 OB. 6 18 + gi+? OC.…

A: The given vector is  2i + 4j + 4k we have to express vector as a product of its length and…

Q: If å = -î +ĵ b = 2î – 3j č = î - î And d = å – 3B + ¢ Determine the unit vector of d

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Q: Q3 - A//Find the value of M such that the vectors A 2i+ Mj+k and B = 4i-2j-2k %3D are perpendicular…

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Q: two points in the 3D plane, where A=(2,-4,6) and B=(5,-9,8). Which of the following would be the…

A: In this question, the magnitude of the vector is determined. The magnitude of the vector A→=a,b,c is…