Write the scalar equation of each line given the normal vector ñ and point P a) = [11, -5], Po(4, 9) b) n = [7, 3], Po(2, -8) c) n = [-2, 2], Po(1, 1)

Q: Let L₁ be the line passing through the points Q₁-(-1.-3, 1) and Q₂-(-4,-6, 2). Find a value of k so…

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Q: A straight line has vector equation given by r=(1-A)i+(3+2A)j.How far is this line from the origin?

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Q: Write the scalar equation of the line given the normal vector point Po(-2,-4). n = and a

A: Scalar equation of a line is given by , Ax+By+C =0, where (A,B) are the cordinates of normal vector…

Q: Write the equation of the line passing through P with normal vector n in normal form and general…

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Q: find the components of the vector PQ. P = (-}, 3, 1), Q = (4, 6, 0)

A: P=-12, 92, 1,  Q=4, 6, 0

Q: Determine the shortest distance from the point (3, 4, 5) to the line through the origin parallel to…

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Q: Suppose vector a= (4, -6, 10) and vector B= (-6, 9, -15). What is a x b?

A: topic - vectors

Q: Find  vector z + vector y if vector z= and vector y= . graph

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Q: Which vector equation below represents the line in R³ that passes through the point (-4, 5, 7) and…

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Q: Express the vector p = (-6,15,-3) as linear combination of the vectors u = (1,-1,3), v = (2,-5,0)…

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Q: Let Lz be the line passing through the point P-(10, 1. –10) with direction vector d--2, -2, 3]", and…

A: We will use formula for the shortest distance.

Q: What is the vector equation of the line segment that connects point P(1,−1,2) to point Q (4,1,7)?

A: Given, A line segment passes through the points P1,-1,2 and Q4,1,7 We have, the vector equation of a…

Q: Line E goes through the points (1, 5, 2) and has the direction vector ⟨2, 2, 3⟩. Line F goes through…

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Q: Determine the Cartesian equation of the line passing through A(4, -2), which has 7=(5, 3) as its…

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Q: Find the equation for the plane through the point Po = (2,10,7) and normal to the vector n = 9i + 2j…

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Q: Write down the vector equation of the line that passes through the points (x,y,z) = (2,3,7) and…

A: The given problem is to find the vector equation of line that passes through the given two points.

Q: Find symmetric equations of a line that contains the point (13,3,7) and the origin. Demonstrate how…

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