aj Jai aj lai ow consider the circle in a general position where the base vectors i & j are replaced with new vectors & j, to obtain a general vector function for a circle ř(t)=c +acos(t)i, +a sin(t) j, for 0

Q: Given the following points, determine the vector equation defined by having point C as initial point…

A: Here, C7,π4,3 is in the cylindrical coordinate system. So, r=7θ=π4z=3

Q: Question 17 of v be the vector from initial point P₁ to terminal point P2. Write v in terms of i and…

A: Given query is to find the Indicated vector.

Q: Find a vector equation with parameter t for the line through the points (–1, –7, –4) and (-9, 8, 2).

A: we know that vector equation of line which passes through pointsx1,y1,z1,x2,y2,z2 is given by…

Q: Explain why there is no vector v such that × v =.

A: We explain why there is no vector v such that  <1,2,1> × v =<3,1,5>

Q: x + y 2x + y. 2 -4_ x = Ex: 5 : Y= Ex: 5

A:

Q: 3. (Sinx, Sinzx, 4. for the given vectors find the value of normalize W+V π = (1, 1, 3) V = (3, 1,…

A:

Q: Describe the curve represented by the vector-valued function r (t) = (2 cos t) i +tj + (2sin t) k…

A: Given: r→(t) =2costi→+tj→+2sintk→. x=2costy=tz=2sint Then, x2=costz2=sint

Q: Find the vector having length v=12 and direction theta 60 degrees

A:

Q: 3. (a) ) The points A(5, -10) and B(-7,6) are the ends of a diameter of circle C, Determine the…

A:

Q: Vector V is in Standard Position į makes an angle of 150° With the positive X-axis. The Magnitude of…

A:

Q: A velocity vector of variable magnitude of an object can have a constant direction. O True False

A:

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

A:

Q: Sketch your process of determining the vector and find its component form if 7 makes the angle of…

A: Here we can use easy method like spherical coordinates to solve this question. Here magnitude and…

Q: Suppose vector i = (-3,4,-6] and originates at point A at (1,5,-3) and terminates at point B at…

A: Note that : Since you have posted a question with multiple sub parts, we will provide the solution…

Q: 6. Let A= (1, 2, 0), B = (3, 4, -1), and C= (4, 5, 2). Find the exact value of the distance between…

A: Given- A=(1,2,0) , B=(3,4,-1), C=(4,5,2) To find the exact value of distance between point C and the…

Q: (c) Use vector methods to find the point P on the circle (x - 5)² + (y-4)² = 4 which is closest to…

A:

Q: A vector with initial point at the origin and the terminal point on a unit circle can be written in…

A: Let A and B are the initial and terminal point if a vector then the representation of the…

Q: You may refer to vectors v and w in the figure attached in order to fulfill parts a and b of the…

A: Please find the solution. (A) sketch V - W by placing the initial point of -W at the terminal point…