Use the dot proquct to find the largest interior angle of the triangle with vertices P(-1,2,3), Q(1,2, 1), R(2, 2, 1).

Q: Find the area of the triangle in the plane with vertices (3, 2), (7,3), and (6, -7). Area = 0

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Q: (1,6) and perpendicular to 2x+7y=1

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Q: If a triangle has vertices (-5,-5), (-4,-6), and (-2,-1), how do you reflect this over the y=x axis

A: First of all to find the coordinates of the vertices A(-5,-5),B(-4,-6),C(-2,-1) after reflection…

Q: Find the distance d between the points (1, 3) and (5, 6).

A: Given: To Find: The distance (d) between the points (1, 3) and (5, 6)

Q: Find the area of triangle with (1,-1,-2), (-2,0,-1) and (0,-2,1) as vertices?

A: Given: 1,-1,-2, -2,0,-1  and 0,-2,1

Q: Confirm that points (1,2,-1), (2, 5,-2) (4,4,-3), (3, 1,-2) are vertices of a rectangle. Then, find…

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Q: Find the perimeter of the triangle with vertices A(-1, 2, 1), B(1, -1, 3), and C(3, 4, 5).

A: Given:The vertices A(-1, 2, 1), B(1, -1, 3), and C(3, 4, 5).The perimeter of the triangle is AB + BC…

Q: Find a and b if the segment with endpoints (1 - 2a, b) and (3a, 3b + 2) has midpoint of (2, 5). How…

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Q: Is the triangle with the vertices M(-2,5), N(12,3), Q(10,-11) a right triangle?

A: Solved below

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.