1. Find the position vector of the point of intersection of the line joining the points whose position vectors are 5i − 4j and −3i + 4j with the line joining the points whose position vectors are −13i + 4j and −5i + j.

Q: Describe the solutions of the first system of equations below in parametric vector form. Provide a…

A: Introduction: Any system of linear equations can be expressed in the matrix equation form. And then…

Q: Specify the unit vectors a = 2i + 3j-k and b = 3i + 4j.

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Q: The vector component of A = 62 + 3ŷ + 32 along B=-22 +79 + 42 is: O a. 0.61âx+-213ây+-1.65âz O b.…

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Q: what is 98.8=98

A: We are given the statement "98.8=98". We know that 98.8 is not equal to 98.

Q: c) x = x1 – x2, x, = 5x1 – 3x2 %3D

A: To solve the given system of differential equations, first we find the eigenvalues and corresponding…

Q: 35. For m = (-5, -6) and = (6, −9) find the sum of the vector three times the magnitude of m and the…

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Q: A city is described parametrically by the equation r = (ai + bj+ck) + svi + tv₂ where v₁ = 3i+j+ k…

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Q: Given two Vectors U = [4 +2]. an .and V= Find U+12V Draw Vectors U and V and 10+ as arrows in a…

A: U=25 and V=82

Q: The vectors A 6i + 4j – 8k and B = xi + 6j + zk are known to be parallel. Find x and z x = 9. -12

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Q: Formulate this problem as an LP (do not solve, just formulate please)  There are currently 3…

A: The given co-ordinates of machines are P1=10,15,P2=20,15,P3=40,5 To formulate the given Lp problem…

Q: Let -4 -1 7 -11 3 -1 A 13 -1 1 -3 13 -1 1 -3 Find orthonormal bases of the kernel and image of A.…

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Q: 5. Write the components of the following vectors: 5a. ˆı, 5b. −7ˆȷ, 5c. 4ˆı + 9ˆȷ, 5d. 5ˆı − 3ˆȷ.6.…

A: The objective of the question is to write the components of the given vectors and to express the…

Q: Let a₁ = , a₂ = [2] and b = -7° -13 -8 s b a linear combination of a₁ and a₂? OA. b is not a linear…

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Q: Find parametric equations for the line through the point P(-5,6,7) and perpendicular to the vectors…

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