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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 = z2

Explanation / 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