²² = x²x + y²y + z ²₂ › the Show that inc position vector (1²²1=5 and 6=6 (x₁y₁z)) cartesian coordinate system, the given by (²x). ( ²² x 7) = 1²7²p_1²2_4-25-34

Q: Describe all solutions of Ax = b, where 2-5 3 A -2 6 -5 70] and b = Describe the general solution in…

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Q: Question 6 Let A' = [-4 16 8] and B' = [-1 x² 21 For which real value(s) of x are vectors A and B…

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Q: Q) Let û = 2745, Vz+3 , and w=T-5 find Scalars a and b such that u - av + bw

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Q: Convert into rectangular coordinates. (2,-) 3

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Q: a line is parallel to the vector i+ 5j+3k and passes through the point P = (6, 2, 4), then the…

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Q: Find the angle between u = (2,3,1), and v = (-3,2,0)

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Q: Hiwil show that_Viz 3i+6j_and_V=-i-zj have offosite direction.

A: We have to prove that vectors have opposite direction.

Q: Vector v = <1,1,0> and vector w = <-1,-1,sqrt2>. Find the area of the parallelogram…

A: The objective of this question is to find the area of the parallelogram formed by two vectors v and…

Q: what is the graph of vector B = C - A??

A: First we mark A and C vectors then we find -C vector  The resultant of A and -C will be B as B = A -…

Q: Describe all solutions 2 -1 3 -4 2-6-2¹] of Ax = 0 in parametric vector form if 11

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Q: Find the coordinates of ABC after a dilation of k = -4

A: The given question can be solved as shown in step 2.

Q: Let L be the line with parametric equations x-2-2t y-10-2t 2-8-21 Find the vector equation for a…

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Q: Find 3 different homogeneous coordinate representations for the Cartesian point (1,-2)

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Q: Let I be the line with parametric equations x = -9-2t y=-10+3t z=4+t Find the vector equation for a…

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Q: O a. X=4+ 7^, Y= 7+ 1\, Z= 10+6A

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Q: Vector A = 6i + 2j - 3k Find the

A: Given: Vector A=6i+2j-3k  To find: Scalar component of A perpendicular to the x-axis.

Q: Let u = 10i + 2j, v=i+j, and w = i-j. Find scalars a and b such that u = av + bw. a = b =

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Q: Write the parametric equations of the line through the point (1,2,3) parallel to the vector a =.…

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Q: Determine whether v = 3i - 5j and w = 6i - 10j are parallel,orthogonal, or neither.

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Q: Describe all solutions of Ax = 0 in a vector form, where -4 -2 0 3 2 0 0 0 1 1 A = -1 -4

A: Here given matrix is

Q: Write out the expressions a- Va in index notation for vector a

A: Let us consider a vectora→ = a1i^ +a2j^ +a3k^where a1 , a2, a3 are functions of (x1, x2 & x3)and…

Q: Find a complex vector d so that if F{(fo, ƒ1, ƒ2 ƒ3)} = ċ then F{(−fo, − ƒ₁, 0, 0)} = č ® ā.

A: According to the given data, find the vector d:

Q: Q6\ Find parametric equations for line through P(-3, 2, -3) and Q(1, -1, 4)

A: P(-3,2,-3) and Q(1,-1,4).

Q: In R3, derive the equation of a line in vectorial, parametric and canonical form.

A: Parametric equations of a line in R3 :Parametric equations of the line can be written as…

Q: (у-3) dy y2-6y+1

A: To evaluate the integral: ∫(y-3)y2-6y+1dy Solution: ∫(y-3)y2-6y+1dy…