Find a vector V of a magnitude equals 14 and perpendicular To the plane in space which includes the following points [P(4, -3, 6) ,Q(-7,8,-2), R(1,4,3)]

Q: Compute the resultant of the position vectors for the points (2,4,3) and (1,-5,2) of a rectangular…

A: Question- Compute the resultant of the position vectors for the points (2,4,3) and (1,-5,2) of a…

Q: Find the angle between the planes whose vector equations are 7-(2i + 2)- 36) =57-(3i -3) + Sk) = 3…

A: The solution to the the given question is explained below.

Q: Find the distance from the origin to the plane through the point (-6,3, -2) and having 5i - 3j° + 4k…

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Q: A plane in R'is perpendicular to the vector (4, 2, – 9), and contains the point (- 9, 5, - 8). Find…

A: A plane in ℝ3 is perpendicular to the vector 4, 2, -9 and contains point -9, 5, -8To find the…

Q: Find the cross products of vectors: u=(0,-4,2) and v=(-3,2,6). Find the area of the parallelogram…

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Q: 5. Determine a vector equation of the line that passes through the origin and is parallel to the…

A: Determine a vector equation of the line that passes through the origin and is parallel to the line…

Q: what is the vector equation of the line of intersection of the planes z=5 and x=9

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

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Q: Find the point functions t= d6i +(e-6); +(-€)4 and 40=(2+2-/it (5- €);t (1-56)4 Intersect. at which…

A: Given: Two vector functions as r1t=2ti+t2-6j+-13t3k and r2t=2+2ti+5-tj+1-5tk, To find: The…

Q: Find a vector ī that is perpendicular to the plane through the points A = (2, 5, 1), B = (5,4, –2),…

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Q: Find the vector with the given magnitude and in the same direction as " M = 4; u = (-8,15) . %3D

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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: ? (2,3), (0,0) }

A: Let S=2, 3, 0, 0. We need to find whether the set S spans a line or all of ℝ2.

Q: Find the angle between the vectors r = (-1, 2) and s = (4, 2)

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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: mine the angle between vectors M = (1

A: Here we vector M=1,2,5 and vector T=-2,-3,3

Q: Find the vector equation for the line of intersection of the planes 4x - y + 3z = 1 and 4x + 2z = −1…

A: Given:equation of two planes To find:vector equation of line that intersects these planes

Q: Find the vector equation for the line of intersection of the planes 5x + 3y2z = -1 and 5x + 5z = -4…

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Q: The rectangular plot of land shown in the figure is to be fenced along three sides using 39 feet of…

A: Total fencing is 39 feet and the total area of the plot is 180 square feet. That is,…

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

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Q: Find the vector equation of the plane taking into account that 4x - y - z = 3

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