Find the area of the parallelogram with vertices A(−3, 0),

chezmarylou1i 2021-12-12 Answered
Find the area of the parallelogram with vertices A(−3, 0), B(−1, 7), C(9, 6), and D(7, −1).
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

limacarp4
Answered 2021-12-13 Author has 39 answers
Given vertices A(−3, 0), B(−1, 7), C(9, 6), D(7, −1)
AB=(1(3),70)=(2,7)
BC=(9(1),67)=(10,1) The area of parallelogram with adjacent sides AB and BC is the length of their cross product |AB×BC|
Now
|AB×BC|=|ijk2701010|
=(00)i(00)j+(270)k
=72k
Therefore, the area is,
|AB×BC|=(72)2=72
Not exactly what you’re looking for?
Ask My Question
levurdondishav4
Answered 2021-12-14 Author has 38 answers
=12[3(76)1(663)]
=12[3(1)1(66)]
=12[3+66]
=12[63]
=632 sq units
=12[3(6+1)1(942)]
=12[3(7)1(51)]
=12[21+51]
=12[30]
=12 sq units
Area of parallelogram abcd = Area of triangle abc + Area of triangle acd
=632+12
=63+242
=872 sq units.
Therefore, the area of the parallelogram is 872 sq. units.
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2021-09-22

Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1,3,0),(2,0,2),and(1,3,1).

asked 2021-05-14
Find a nonzero vector orthogonal to the plane through the points P, Q, and R. and area of the triangle PQR
Consider the points below
P(1,0,1) , Q(-2,1,4) , R(7,2,7)
a) Find a nonzero vector orthogonal to the plane through the points P,Q and R
b) Find the area of the triangle PQR
asked 2021-06-01
Find the vectors T, N, and B at the given point.
r(t)=<t2,23t3,t> and point <4,163,2>
asked 2021-05-07
Find a vector equation and parametric equations for the line segment that joins P to Q.
P(1, -1, 5), Q(5, 6, 1)
vector equation r(t) = ?
parametric equations (x(t), y(t), z(t)) = ?
asked 2021-07-31

4.(a) Sketch the region of solutions of the following systems of inequalities:
2?+3?12
?+2?<4
?0
?0
b. List the coordinates of all of the corner points:
c Which corner point would maximize the equation ?=5?+3??

asked 2021-11-03

Use the chain rule to find 

z
s

 and 

z
t

.

z = tan−1(x6 + y6),   x = s ln(t),   y = tes

z
s

=

 

z
t

=


asked 2021-09-18

List five vectors in Span {v1,v2}. For each vector, show the weights on v1 and v2 used to generate the vector and list three entries of the vector. Do not make a seketch.
v1=[716], v2=[530]

New questions