Find the volume of the parallelepiped determined by the vectors
a, b, and c.
a =...
Find the volume of the parallelepiped determined by the vectors
a, b, and c.
a = <1, 4, 3>, b =
<-1,1, 4> and c = <5, 1, 5>
(a) Find the volume of the parallelepiped determined by the
vectors a =< 2, −1, 3...
(a) Find the volume of the parallelepiped determined by the
vectors a =< 2, −1, 3 >, b =< −3, 0, 1 >, c =< 2, 4,
1 >.
(b) Find an equation of the plane that passes through the point
(2, 4, −3) and is perpendicular to the planes 3x + 2y − z = 1 and x
− 2y + 3z = 4.
Find the volume of the parallelepiped determined by the vectors
a, b, and c.
a =...
Find the volume of the parallelepiped determined by the vectors
a, b, and c.
a = 2i + 4j − 4k, b = 3i − 3j +
3k, c = −4i + 4j + 3k
( ) cubic units
Find the volume of the parallelepiped determined by the vectors
→a=〈4,2,−1〉a→=〈4,2,-1〉, →b=〈0,3,4〉b→=〈0,3,4〉,
→c=〈2,3,1〉c→=〈2,3,1〉.
Find the volume of the parallelepiped determined by the vectors
→a=〈4,2,−1〉a→=〈4,2,-1〉, →b=〈0,3,4〉b→=〈0,3,4〉,
→c=〈2,3,1〉c→=〈2,3,1〉.
Find the volume of a parallelepiped if four of its eight
vertices area ? = (0,0,0),...
Find the volume of a parallelepiped if four of its eight
vertices area ? = (0,0,0), ? = (1,0,2), ? = (0,2,1), ? =
(3,4,0).
Find the volume of the parallelepiped with adjacent edges
PQ, PR,
and PS.
P(−2, 1, 0),...
Find the volume of the parallelepiped with adjacent edges
PQ, PR,
and PS.
P(−2, 1, 0), Q(3, 3, 3), R(1, 4, −1), S(3, 6, 2)
Find the volume of the parallelepiped with adjacent edges
PQ, PR, PS.
P(3, 0, 3), Q(−1, 2,...
Find the volume of the parallelepiped with adjacent edges
PQ, PR, PS.
P(3, 0, 3), Q(−1, 2,
8), R(6, 1, 1), S(2,
6, 6)
Using MATLAB, create three vectors a = 4i, b = 2i - 4j, and c =...
Using MATLAB, create three vectors a = 4i, b = 2i - 4j, and c =
-2i + 3k, where i, j and k are unit vectors of three axes in
Cartesian coordinate system. Compute |?∙(?×?)| using the predefined
MATLAB commands and show that it is the volume of a parallelepiped
defined by three vectors a, b and c.
Homework #2
a) Find a vector perpendicular to the vectors 2i + 3j-k and 3i +...
Homework #2
a) Find a vector perpendicular to the vectors 2i + 3j-k and 3i +
k
b)Find the area of the triangle whose vertices are (2, -1,1),
(3,2,1) and (0, -1,3)
c)Find the volume of the parallelepiped with adjacent axes PQ,
PR, and PS with P (1, -2.2), Q (1, -1.3), R (1,1,0), S (1,2,3 )