Suppose and are vectors such that a × b =(3, 1, 4). What is the cross product of twice of a with twice of ? (6, 2, 8) (0, 0, 0) (3, 1, 4) (12, 4, 16)

Q: Find the area of the triangle determined by the points P, Q, and R. Use * .the cross product of…

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Q: Which is the vector perpendicular to the vectors n₁ = (2, -3,0) and n2 = (1,7,9)?

A: Given that: n1→=2,-3,0, n2→=1, 7, 9 The perpendicular to the vectors n1→ and n2→ is required.…

Q: The cross product of two vectors u=(2, -3, 1) and v=(0, − 1, 2) is 5. O True O False

A: Here is the solution:

Q: Determine if the vectors are Linearly Independent or Linearly Dependent. -2 [1 -5 =|2.X2) = -3 ,x6)…

A: A set of n vectors of length n is linearly independent if the matrix with these vectors as columns…

Q: Question 3 (1 point) Suppose a, 3, and 7 are vectors such that = (3, 1, -5) and 7xa= (7, -7, 1). ,…

A: Find your answer below

Q: Which ONE vector is parallel to (4, 9, 16)? (a) (20, 0, 8) (b) (6, 27/2, 24) (c) (1/4, 1/9, 1/16)…

A: We will find which option is correct.

Q: (x.yız) (x,9e)x4か t. 22 P( 3-1,0) けこくりん)2

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Q: Find the vector P,P2 and P2P1 P:(3.2,3) , Р.(5,7,-1) b- P1(-2,-1,0), P2(4,-5,2) a - P1(0,3,3),…

A: We can solve the given problem as follows:

Q: Let a = (2,3,6) and b = (3,4,2) be vectors.  Compute the cross product aXb

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Q: Find vectors A and B such that A is parallel to (2, 1,-1), B is perpendicular to (2, 1, -1) and A +…

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Q: Write N(A) as the span of a vector (r vectors). What is dimN(A)? Why?

A: Null space, N(A) is the set of all vectors x in R^4 here, which are solutions of the equation Ax=0,…

Q: 1] Determine whether the first vector is a linear combination of the other vectors. (c) (-1, 15);…

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Q: What if the vector v was [ 7, 11, 3]

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Q: There are four vectors (1,2,3), (1,-1,2), (2,4,6) and (2,6,c). If there is a condition in which the…

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

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Q: Write each vector as a linear combination of the vectors in S. (Use s, and s2, respectively, for the…

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Q: 15. Which is the component form of the vector shown? -2- * (1, 2) -4 (-5, -3) O (4,-7) O (7.-4)

A: This question is related to vectors, we will solve it using given information

Q: Check that the space generated by the vectors (1, 3, 5), (1, 4, 3), (1, 1, 9) is equal to the space…

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Q: Let the following vectors be in R³ a = (1,3,-1) b= (-2,1,3) c = (3,2,1) d = (1,-1,2) 15.- Find the…

A: Introduction: Vector Operations are operations that are performed on vector quantities. Vector…

Q: Show that the vectors are orthogonal.

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

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOS S =…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: ? (2,3), (0,0) }

A: Let S=2, 3, 0, 0. We need to find whether the set S spans a line or all of ℝ2.

Q: ● Let A = (1.-2,4), B (0,3,2), C (-1,4,-2) be three points in R. Find the vectors u-AB and v-AC.

A: Let A=(1, -2,4), B=(0,3,2), C=(-1,4,-2) be three points in R3. We have to find the vectors u and v.

Q: 6. If If vectors (5,2,-1) × (2,-1, a) = (5,-12,-9) then determine the value of a.

A: Given: 5,2,-1×2,-1,a=5,-12,-9

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: we will write the given vector as linear combination of vectors in as and find the unknown…