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the two unit vectors parallel to the lineΒ π¦=β(3π₯+5)
find the equation of the line through the point (5,6) which forma with the axes a triangle whose area is 80.
LESSON: LINES AND PLANES IN SPACE
in your understanding what is meant by the statement "two planes determine a line"? is this universally tru?
Find the length of the arc of the cal x square is equal to eat from the vertex to an activity of a letter rectum
Prove that, if a, b, c are non-zero and
(a x b) x c = a x (b x c)
then either
(i) b is perpendicular to both a and c, or
(ii) a and c are parallel or anti-parallel
Note: "x" is cross product
Graph two overlapping circles in the cartesian plane, such that the center of one another
lies at the circumference of the other.
β’ Show the standard and general equations of these circles inductively (meaning, writing
from its properties going to the equation).
β’ Graph also a parabola whose vertex is the center of one circle, and whose opening faces
the center of the other circle.
β’ Graph another parabola opposite to the first one whose endpoints of Latus Rectum are
the intersection points of the two circles.
β’ Show the standard and general equations of the parabolas inductively (meaning, writing
from its properties going to the equation).
A point moves so that is always equidistant from (-5,5) and (-2,2) . Find the equation of its locus
Write an equation for the set of all points in the plane equidistant from (0,β6) and y= β10.
Write your answer in vertex form. Simplify any fractions.
The equation of the plane passing through the point (1, β2, 4) and perpendicular to the line, whose direction ratios are 2, 4, β1 is
1 Determine k for which line (k + 2)x + (k^2 -9)y + 3k^2 - 8k + 5 =0 is 1, parallel to y axis 2, parallel to x axis 3, pass through origin 4, pass through (1,1)
#339914 on Dec 2023