1) How was the direction vector determined to be (1, 1, 1) if when solving for the tangent line at t = 0 we got the following vector (1, 1, 0) 2) How were the parametric equations determined: n = 1 + t 4 = t 2 = 0 where did the variable 'n' come from? where did the 4 come from? where did the 2 c

Q: The unit vector of the PQ (of point P(-3, 4, 1) and terminal point Q(-5, 2, 2)). - The angle between…

A: here we have

Q: The parametric equation of the line resulted from intersection of x-y 0, and z = 2 is %3D

A: Use the given planes.

Q: Let / be the line given in parametric form by the equations x = 1 + 21 y = -1 + 31 z = 2 + 51 What…

A:

Q: Write parametric equations for the line that passes through the point P ( 0 , 4 , 0 )  at time t = 0…

A: We know that the equation of the line passing through the points x1,y1,z1 and x2,y2,z2 is given by…

Q: 1 (a) Find the parametric equation for the line through a = parallel to b = 3 (b) Sketch this line…

A: The vectors are .To Find:a) Equation of line through a and parallel to b.b) Plot the line.c) Give…

Q: Question 1 ( Consider the points A(2,-1,0), B(-3, 0, -2), and C(0, 3,-1). (b) Find the parametric…

A: Since A≡(2,-1,0), B≡(-3,0,-2) and C≡(0,3,-1). So AB→=-5i+j-2k, AC→=3i+4j-k and BA→=5i-j+2k. Thus…

Q: Find the parametric equations of the line passing through the point (1, 2, -3) and parallel to the…

A: The objective is to determine the parametric equations of the line passing through the point…

Q: Question 9 Let I be the line with parametric equations x=3-3t y = 5+3t z=-6-2t Find the vector…

A:

Q: Change the parametric equations to rectangular and then sketch an excellent graph of the rectangular…

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Q: Suppose parametric equations for the line segment between (8, 10) and (4, 1) have the form: a + bt…

A: Given that the points 8,10 and  4,1

Q: 1. A line L passes throught point (2,-1,5) that is parallel to line given by l(t) = (t, −1+t, 2).…

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Q: Abee flies around a room at an altitude of 2 2.3 meters making circles, so that its a coordinate…

A: Solution :  To write the parametric equation to describe the motion

Q: Find parametric equations for the line of slope 6 that passes through the point (7,9). (Use t as…

A:

Q: Find the parametric equations for the path of a particle that travels three quarters of the way…

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Q: What are the parametric equations for the line segment from (3,2) to (-10,5)?

A: To determine the parametric equation of a line segment.

Q: (x = -1 + sect b) { y = 2 + tant -<< 2 2

A: To convert the given parametric equation to Cartesian form.