8. Circle the two vectors that are on the plane a) [1, 0, 1] b) [4,7,1] c) [4,-1,9] 2x-y-z-1=0 d) [3, 2, 3]

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

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Q: 4. Prove that the vectors a= (1,1,1); b-(1,-1,0) and e-(-1,-1.2) are orthogonal to each other! 5.…

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Q: Consider the set of vectors {V1, V2, V3} = = {A·A·A) following gives a geometric interpretation of…

A: The set of vectors is given by v1, v2, v3=101, 30-1, 011. We have to find the geometric…

Q: Prove using vectors that the points (1,1,2)A(2,1,1), B(1,2,1), C represent the vertices of a…

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Q: Plane passing through point P0 (1, 2, 1) and perpendicular to vector (1, -1, 2) Find the equation…

A: Given:  Plane D1 : passing point P0(1, 2, 1)                 perpendicular vector (1, -1, 2) Plane…

Q: Consider the vectors u =(1,9,4) and v =(-16,0,-4).| The vector W" =(x,0,z) that simultaneously…

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Q: Consider the vectors u=(2,3,-5), V = (-3, -2,6) and w=(-4,8,4). Calculate u.v

A: We have to find u.v

Q: d) Check whether the given points P(2, -3, 4), Q(-1, 2, 3), R(0, 7, 1) are collinear or not. e) Find…

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Q: 11. Let / be the intersection of the two planes 2x - 3y + 4z = 2 and x-z = 1 a. Find a vector…

A: Let l be the intersection of the following two planes(a) To find a vector equation of l.(b) To find…

Q: Is the vector parallel to the plane x+2y+z+4=0? Explain why?

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Q: In a 4-D Euclidean plane, vector u = (a, b, c,d). In a 3-D space, vector v = (2,7,c). What is u + v?…

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Q: A line, in R³ which passes through the point (xo, yo, zo) and with the direction vector (a, b, c),…

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Q: 4. Consider the vectors u,v and w are defined, u = 3i-j+4k, v = 4i – 2j +6k and w= 5i+2k (a) Express…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Express the vector in the form ai + bj + ck. 2) 8u - 5v if u = (1, 1, 0 ) and v = (3, 0, 1) A) v =…

A: u = <1,1,0> v= <3,0,1> We have to find 8u -5v

Q: 90. Please explain and show your work. a)Determines the projection of a = [-2,-7,3] on b = [3,1,…

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Q: - a) Determine the vector equation of the line of intersection of these 2 (1) x + 2y + 2z = -3 (2 2x…

A: Note:  part(b) is the independent subpart of part(a) and also it is incomplete. so part (b) can't be…

Q: a. Without doing any calculation, explain why one might conjecture that two vectors of the form (a,…

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Q: 3. Determine whether the vectors u and v are orthogonal, parallel or neither. (show/explain your…

A: (a). Given ,  u = 2,3,-1 and v = -1,-1,-1 (b). Given , u = j + 6k and v = i - 2j -k

Q: Let A be the point with coordinates (5, 2, 3) and let B be the point with coordinates (4, 2, 3). Let…

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Q: Q3 O Let w-l(a,b,c), b= 3a} is Sub Sehoof RE a Sub Spaceef R32 is s w X, = i +2j - K , Xz= -3i+2j-R…

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Q: Which point(s) lie in the plane 2x + 3y + 4z = 24? a) (0, 0, 6) c) (4, 4, 1) b) (0, 3, 4) d) (-2, 6,…

A: Given: 2x+3y+4z=24 For finding which point lie on given equation of plane, we put each point on…

Q: A plane contains the point A(-1,2,5) and has direction vectors (2,-1,3) and (-3,1,5). Which of the…

A: Given:   Point : ( -1 , 2 , 5 ) Vectors : ( 2 , -1 , 3 ) and ( -3 , 1 , 5 )

Q: Consider the vectors u = (-5, -9, 3) and v = (1, -9, 3). Determine u x v. A) (0, 19, 54) B) (0, 18,…

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Q: S= {(1,1,1), (1,2,-3), (5,-4,-1)} is a set in R'. Show that a) Sis orthogonal. b) Write w = (1, 5,…

A: Orthogonal set is the set in which dot product of two vectors is zero.

Q: Let W be the set of all vectors of the form 111 ū= -3s- 2t 2s+t -s-2t Find vectors u and 7 in R³…

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Q: 4) Which of the following vectors is parallel to the line L: x = 1 -t, y = 2 + 3t, z = 5 + 2t? a)…

A: According to the guidelines we are answering first question. Please repost the remaining.…