16. Determine the vector equation of each line.

Q: Find the vector v = PQ. P = (4,3, 6) Q = (9,5, 3) V =

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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: Find the vector v = PQ. P = (9,4,7) Q=(10, 7, 3)

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Q: What is the direction of the vector with an initial point of (3,-5) and a terminal point of (8, 6)?…

A: The initial point is (3, -5) and the terminal point is (8, 6)

Q: 1 - x 1 2 - y = z +1 and l2 : х — Consider the lines l1 : = y – 2 = 3 || 2.

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Q: Find the unit vector with the same direction as = (-3, -4). Round answers to the tenths place. -

A: The vector is given by w→ = -3, -4 To determine: The unit vector with same direction as w→.

Q: Three vectors are given: A =il+j2+23,B= &4-§2+23, and C= -x4. Calculate: (a) A+B+C. (b) A+B-2C. (c)…

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Q: Which vectors are the same? y 上平十 y y A B y y D E х

A: We solve only one problem at a time so please submit them one by one for a quick and thorough…

Q: 1. Given three points A(1,-2), B(2,-1), and C(0,3). Determine: a. Equation of the line through A and…

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Q: Graph each of the points: A (-2, 6); B (5, 3); C (3,-3); and D (-4, 0). Draw a vector from the…

A: To determine the length and angle made by the vectors, we will use the distance formula and the…

Q: 2. Given a vector v with initial point P₁ = (2,-5) and terminal point P₂ = (-4, 3), write the vector…

A: Disclaimer:  Since you have asked multiple questions, we will solve the first question for you. If…

Q: Determine whether the lines L₁ and L2 given by the vector equations are parallel, perpendicular, or…

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Q: Find the component form of the indicated vector. Let u = ,v=. Find -6u + 7v.

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Q: Find the component form of the vector.

A: The graph of the vector:To find: The component form of the vector.

Q: Given vector (-2,6) and a point (3,2) a. Write a vector equation  b. Write the vector equation as…

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Q: he vector v = ai + bj is parallel to the line bx – ay = c. Use this fact to find ector starting at…

A: Introduction: The formula for the equation of the line passing through a point P(a,b) is given by,…

Q: A point A(-5,-3) is translated by the vector v = , and then reflected about the line y=0. the…

A: Given that: A(-5, -3) is translated by v=<8, 0>

Q: find an equationfor the line through P parallel to v. Then sketch the line. Include v inyour sketch…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Find the position vector (i.e. the direction vector) from the point P(−4,−6,3) to the point…

A: To find the position vector (i.e. the direction vector) from the point  P-4, -6, 3 to the point Q4,…

Q: Find the vector equation of the line that goes through the point (18, 11, 20) and is perpendicular…

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Q: х-2 у-4 Convert the symmetric equation of the line l: to the vector equation. 6. 7

A: Here we have to convert the symmetric equation of the line l:(x-2)/6=(y-4)/7 to the vector equation.

Q: 3) Find equations for the lines: a. The line through the point P(3,-4,-1) parallel to the vector…

A: Here we have to find the equations for the lines,  a) The line through the point P(3,-4,-1) and…