Suppose a triangle in space has vertices (a, b₁, ²₁), (a₂, bz, C₂) and (93, b3; (3). Explain how you find a vector that is perpendicular to this triangle. Use the vertices to guide us through your process. ر at Points

Q: Graph and find the area of the parallelogram formed by the vectors u = and v = .

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Q: If A = 4a, - 6a, + a, and B = 2a, + 5a,, find: (a) A B +2|B (b) a unit vector perpendicular to both…

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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: Give two vectors A=4i+3j, B=5i-2j Find its values and the direction of vector C, which is 2A-B

A: Vector addition

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: A person in a car travels 9 miles south and then 11 miles west. The person realized she was lost and…

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Q: If a point A, the position vector ai + bj lies on the line L, vector equations r = 2i +5j +c(i-i),…

A: To find the value of (a), we need to ensure that the position vector of point A, (ai + bj), lies on…

Q: "Given vectors A = and B = , find A dot B. " QUICKLY

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Q: the coordinates of the image. 8. Square PQRS with vertices P(-5, 4), Q(2,8), R(6, 1), and S(-1, -3):…

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Q: 2. For v = (5,-2) and w = (3, 4), find v+w, v - w, v/2, -w and make one sketch labeling all 6 of…

A: Given,           v=<5,-2> and w=<3,4>

Q: How long is the shadow cast by a 540-foot tower when the sun's rays follow the vector [6,10,-27]?…

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Q: 2. Below are 4 vectors in component form. Graph these vectors in standard position and then find…

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Q: How many different direction vectors does a line have?

A: Query - How many different direction vectors does a line have? Answer- Direction numbers is a number…

Q: 3. Find an equation of the plane passing through the points (1, 2, -6), (2, 3, -2), and (-1, 4, 8).…

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Q: u = (7,2,-5) and v = (9,-1,-6).

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Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

A: Hint: A vector v→ is perpendicular to both a→=a1i^+a2j^+a3k^ and b→=b1i^+b2j^+b3k^ if v→=a→×b→…

Q: Explain how to find a vector in the direction of the line segment from Po (*o.Yo-z0) to P:…

A: We will find the vector in the direction of the given line segment.Below find the solution in the…

Q: Vector v = RS has points R(-2, 11) and S(-14, 8). What are the magnitude and direction of RS? Round…

A: Let a point P( x1 , y1 ) and other point Q( x2 , y2 ) Then PQ = ( x2 - x1 )i + ( y2 - y1 )j | PQ | =…

Q: Consider the point P(-2,3) on the coordinate system. Describe geometrically the position vector…

A: Given point P (2,3)

Q: Let ā = (4, 3) and b = (– 4, 4). Find the angle between the vector, in degrees.

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Q: If a = (2, –1, 2) and b = (3, 2, 1), answer the following. Vectors can be entered using either or…

A: Given a=2,-1,2 and b=3,2,1