I’ve gotten this far already. I need help finding a non-zero vector that is orthogonal to both vectors (1,2,3) and (-1,-1,1).

Q: For the pair of vectors, find U + V, UV, and 3U - 4V. U = (-7, 0), V = (0,5) U + V = U-V= 3U - 4V =

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Q: Determine a vector equation for the line that is perpendicular to 7 = (4, 1) + s(−3, 2), sER, and…

A: We need to find the equation of line perpendicular to r→=(4, 1)+s(-3, 2),  s∈ℝ and passing through…

Q: Find the vector equation for the line of intersection of the planes 3x - 4y + 3z = -1 and 3x + 3z =…

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Q: Determine a vector that is orthogonal to both (1, 4, −1) and (5, 1, 0).

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Q: Let a = (6, −3, −5) and b = (7, -2, 10) be vectors. (A) Find the scalar projection of b onto a.…

A: Let  be vectors.(A) To find the scalar projection of .(B) To decompose the vector  into a component…

Q: Find two unit vectors orthogonal to a = (-5, -1, 1) and b = (-1,2,3) Enter your answer so that the…

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Q: would two independent vectors span a plane whereas two dependent vectors span a line?

A: If two vectors are linearly dependent:

Q: For the vector, find V v = (-5, 3) v= -V 4V = || -V, and 4V.

A: Given : 1)V=-5,32)V=2i+6j   To Find : 1) 12v2)  -v3)  4v

Q: We know that there are two ways to multiply vectors: the vector and scalar product. How about vector…

A: Vector division is not possible .

Q: why are the position vectors of D, E, F (b+c)/2, (a+c)/2 ect and not D= (c-b)/2, E= (c-a)/2, F=…

A: The objective is to determine why are the position vectors of D, E, F are b+c2,a+c2, and…

Q: Find the vector and parametric equations of the line through the points A = (2,4,7) and B =…

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Q: You are looking down at a map. A vector u with |u| = 1 points north and a vector v with |v|= 7…

A: None option is correct. The details solution of the given question is given below in step 2.

Q: write the general solution to  x+y+z+w=1 x+y-z-w=1 as a vector in the form of y or w

A: NOTE: Refresh your page if you can't see any equations. . the system Ax=b is

Q: use the vectors u = , v = , and w = a) Find which pair(s) of vectors from that set is/are…

A: We have to check

Q: 4. Find two vectors and such that (i) both and are perpendicular to = (1,0,-1) and (ii) is…

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Q: Find an equation of the plane that is parallel to the vectors and , passing through the point (3,…

A: Use given parallel vectors <1,-3,1> , <4,2,0> and passing through the point (3,0,-2)…

Q: The scalar multiplication of a vector by a positive value results in another vector having the same…

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Q: Draw the vectors in standard position in R2 with their tails at the point (2, -3).

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Q: (4) You are doing some calculations about a solar panel on the roof of a house as shown in the image…

A: Given: Let the given vectors are a→=-10, 0, 6=-10i^ + 0j^ +6k^b→=0, 4, 0=0i^ + 4j^ + 0k^s→=13, 23,…