Find a vector orthogonal to both v = 8 -6 and w 9 0 -6

Q: In 3-D, let L be a line that does not pass through the origin. let v1, v2, and v3 be three vector…

A: We have to decide there vectors v1, v2, v3 are linearly indipendent in R3 or not.

Q: Determine nonzero vectors that are orthogonal to the following vectors. (a) (1, 5)     (b) (6, −1)…

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Q: The vector v= (6,-4, 0) starts at the point P = (-2,5, -1). At what point does the vector end?…

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Q: Define zero vector.

A: Define zero vector.

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

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Q: Q12: Let vector v = (1, 3) and vector w=(-4,-2). Write vector v as the sum of two orthogonal…

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Q: Find a vector orthogonal to both 7 -10 and w -10 -10 -4 7

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Q: Find two linearly independent vectors perpendicular to the vector 1 3

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Q: Express the indicated vector was a linear combination of the given vectors V₁ and V2 if this is…

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Q: Find a vector orthogonal to both v and u. V = 2i - 2j + k, u = -4i - 4j + 5k -6i - 7j + 7k 6i + 7j +…

A: Given is           v = 2i -2j +k           u = -4i-4j +5k         two vector a & b said to be…

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

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Q: Q11: Let vector v = (-7, 5) and vector w=(2, 2). Write vector v as the sum of two orthogonal…

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Q: Assuming a vector a(2,1,3) and a vector b(-1,2,2) Length vectors Calculate 2a-b and a + 3b.

A: In this question we will use basic of vector addition, subtraction and Multiplication.  First we…

Q: Find a vector orthogonal to both = 10 2 and w = 2

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Q: Determine whether the vectors v₁ = (1, 2), v₂ = (-1,0) and v3 = (0, 1) are linearly independent; if…

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Q: 3. Write the vector (1, 1, 1) as a linear combination of a vector in the direction of (2, –2, 1) and…

A: We have, a→=(1, 1, 1) and u→=2,-2, 1 Let b→ is vector in the direction of u→=2,-2, 1 So, b→=λ2,-2, 1…

Q: Determine if the vectors are linearly independent or not

A: The vectors are linearly independent.

Q: The z-coordinate of the terminal point of the vector v=-5i-19k whose initial point is (-1,-4,-5) is

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Q: Find two linearly independent vectors perpendicular to the vector v= 1 9

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Q: Find a unit vector with the same direction as the vector u = (7, 4, −3)

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Q: Show that the vectors are orthogonal.

A: Given vectors are u=<u1, u2>=<4, -1>v=<v1, v2>=<2, 8>

Q: Express the vector x as a linear combination of the u's. -17 U₁ = 0, U₂ = 5, U3 = 6, X = -43 -14…

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Q: f possible express the vector v as a linear combination of 1, V2, and V3. b) v = (0, 0, -1), V₁ =…

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