Q: True or False 3. Any point in the plane has unique polar coordinates (r, ) wi
ID: 2855204 • Letter: Q
Question
Q:
True or False
3. Any point in the plane has unique polar coordinates (r, ) with r, real numbers.
4. The distance travelled on the path with parametric formula (cos(t), sin(t), t)for values of t between 0 and 2 is the same as the distance travelled along the same path for values of t between 2 and 4.
6. Any vector has a position.
8. A plane in three-space is given by two linear equations in three variables that are not scalar multiples of one another.
9. To describe a plane in three-space, it is enough to give a single point on the plane and a non-zero vector perpendicular to the plane.
10.The integral of the derivative of a vector-valued function of t between 0 and 10 computes the distance travelled between times 0 and 10.
x2 + y2 = z2Explanation / Answer
(1) True
(2)False Its a hyperboloide
(3)TRue
(4)True
(5)False
(6)True
(7)True
(8)False, The direction vectors of parallel lines are scalar multiples of one another
(9)False
(10)False
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