(A) Find plane equation through points (2,4,5),(1,5,7) and (-1,6,8) and then find the area of the triangle determined by these points. (B) If d = 5v-7w,v=4 and w=2, find d.v+d.w normal vectors. where and w are

Q: Which of the following vectors is parallel to the line 7x+ 14y = 20? %3D (-6,3) (8,-16) (2,4) 0.…

A: We first find the slope of the line using y=mx+b form

Q: Develop vector and parametric equations for the line through (7,2,-1) and parallel to r = (4,7,0) +…

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

A: Using the dot product equal to zero for perpendicular to the vectors.

Q: Graph the two vectors x= (5, 1,3) and y=(-1,3,1

A: Topic:- 3D

Q: Find the vector and parametric equations of the line through the points A = (2,4,7) and B =…

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Q: Find two vectors v1 and v2 whose sum is , the rest is on the photo

A: We know if two vectors are parallel then they have same direction or opposite direction. If two…

Q: Sketch the vectors = (2, 3,-6) and w = (-1,1,1) and draw -U, v + w and 7 - w.

A: The given vectors are

Q: Find parametric equations for the line through the point P(-3,4,-2) parallel to the vector 4i - 7j -…

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Q: (H) Find magnitude and angle (deg) of the following vectors, where x=x-component & y-y-component.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the vector equation of the line (d) through (6, −3) and parallel to the line through (5, −1)…

A: First, we find the slope of the line  through (5, −1) and (2, 11) Direction vector is=(2, 11)-(5,…

Q: Q1(A): 19 Marks] Two vectors A and B are located at Pi(2,2,2) and P2(2,-2,-2). Write vector notation…

A: Two vectors A and B are located at P(2,2,2) and P2(2,-2,-2). Write vector notation for each starting…

Q: Give the parametric and symmetric equations of the line that passes through the point (5,−1,3) and…

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