1. Given three points A(1,-2), B(2,-1), and C(0,3). Determine: a. Equation of the line through A and B in vector, parametric and Cartesian form. b. Equation of the line through A and C in vector, parametric and Cartesian form. c. Equation of the line through B and C in vector, parametric and Cartesian form.

Q: Sketch the straight line from the points A(,0) and B(0,2) and then find the equation of the line?

A: Identify the given two coordinates in the graph and then draw a smooth line by joining these two…

Q: Represent two planes that intersect at a line represented by 3. y- 7 = z+2 2.

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Q: Give the vector equation of the line passing through P and Q. P = (5,2), Q = (3, 0) X = + t 00

A: To find the vector equation of the line passing through P and Q.P=5, 2, Q=3, 0

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: 2. Given a line that passes through the point (-2,1,3) and is parallel to the line joining A(1,5,3)…

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Q: Find an equation of the plane

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Q: Find an equation of the plane with x-intercept a, y-intercept b, and z-intercept c.

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Q: A) Write the equation of the line PARALLEL to y + 3x = -8 and passes through (6,-4) Do NOT use the…

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Q: P= (2,-2), Q = (4,0) ∙8-8 t X =

A: Vector equation of a line passing through two points with position vectors P(2,-2) and Q(4,0)…