Find a basis for the plane 3r - y+1z 0. withe the vectors required to be orthogonal to each other. in this plane find a vector u (a, b, c) of length 50 with. a, b>0, e<0.

Q: Find eguation of a Plane that an contains the vector: and and Z=3E

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Q: The plane passing through the three points A(4, –3, –4), B(-4, –3,2) and C(-3,3, –2) can be…

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Q: Find the vector projection of v = -6i + 10j – konto w = = 2i + j − k (Give your answer using…

A: The given two vectors are  v=-6i+10j-k  and w=2i+j-k

Q: Given the points A(1,2,3,) and B(2,-2,1) Find the Vectors A and B with respect to origin. Unit…

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Q: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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Q: Find the scalar equation of the line i = [-5,3] + t[2,7]. Тext Find the vector equation of the plane…

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Q: Find the value of a so that the vectors a = (11, −29, 13), b = (46, 5, 37), and c = (a, -194,-70)…

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Q: Find a vector ī that is perpendicular to the plane through the points A = (2, 5, 1), B = (5,4, –2),…

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Q: 5Q Determine if the given vectors are orthogonal, parallel or 1 i. a=, b= ii. a=, b=> iii. a=i+2j…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A: To find unit vectors that satisfy the stated conditions.a Same direction as -3i+2ju=?b Oppositely…

Q: Give the vector equation of the plane passing through P, Q, and R. P = (8, 8, 8), Q = (4, 0, 2), R =…

A: The answer is given below:

Q: (a) AB-BC (b) projABAC (the vector projection of AC onto AB) (c) the area of AABC

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Q: Determine the scalars K and S that make the vector u a linear combination of the vectors v and w.…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Find a unit vector perpendicular to c = (3, 4, −7) and d = (−1, −1, 3)

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