If two vectors p and q are such that |p| = |q, show that p + q and p- q are (This proves that the diagonals of a rhombus are perpendicular to perpendicular. each other!)

Q: Given two non-zero vectors a and b such that abs(a+b)=abs(a-b), find the value of a*b (dot product…

A: Given Two non-zero vectors a and b such that  a+b=a-b            ...........1 The dot product of and…

Q: Suppose A and B are non-zero vectors in R. If A•B = 0, then A and B are parallel. True False

A: Follow next step

Q: would the two vectors be (1 1 1 0) and then (0 0 0 1)?

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Q: Show that the vectors i - j, j - k, k - i are parallel to a plane.

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Q: when I do the dot product of vectors a and c, and of vectors b and c, they aren't perpendicular…

A: The vectors are ,             a→ = (1,1,1)   ,   b→=(-1,0,1)  ,   c→= (1,-2,1) all are perpendicular…

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i+j and i – 2j as…

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Q: For any two non-zero, non-parallel vectors ā and b, the vectors ā x b and (2ā + b) x (ā – b) are…

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Q: When two nonzero vectors w are called perpendicular or orthogonal?

A: Let two nonzero vectors are u and v Then the scalar product of the two vectors is given as,…

Q: Show that the lines L₁ : x = 1 -t, y = 2t, z = 5 + t and L₂: x=1+3t, y = 3-6t, z = 5-3t are parallel…

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Q: 2. Let p₁ = (2,-1,8), p2 = =(5, -3,9) and p3 = (0, -1, 14) (a) Show that the three points define a…

A: Note: Since we only answer up to 3 sub-parts, we'll answer the first 3. Please resubmit the question…

Q: Suppose that u and v are vectors in R7 both of length 2√2 and that the length of u - v is also²√².…

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Q: Given two vectors p = (-3, -4, -3) and q = (4, -3, 3), find such vectors a and b that a+b= q; ais…

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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: 2. For v = (5,-2) and w = (3, 4), find v+w, v - w, v/2, -w and make one sketch labeling all 6 of…

A: Given,           v=<5,-2> and w=<3,4>

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

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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: For what values of c are the vectors and perpendicular?

A: we will use dot product of two vector.

Q: own your onw word, meaning for two vectors to be parallel?

A: Vectors are parallel if they have the same direction Both components of one vector must be in the…

Q: a) Draw the vector 2 - 3 + W. b) Show how to use the parallelogram rule to add u and w

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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…