We need to find the volume of the parallelepiped with only one vertex at the origin and conterminous vertices at .
So, u can setup the matrix A, where the columns are the vectors given.
The volume of the parallelepiped is equal to the absolute value of the determinant of A.
And lets calculate the determinant. Expanding along the first column gives us to shown computation.
Now, we know that the volume of the parallelepiped is 18.
Results: Volume is 18.
An object moving in the xy-plane is acted on by a conservative force described by the potential energy function
I need to find a unique description of Nul A, namely by listing the vectors that measure the null space
T must be a linear transformation, we assume. Can u find the T standard matrix.?
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.
Consider two vectors A=3i - 1j and B = - i - 5j, how do you calculate A - B?
Let vectors A=(1,0,-3) ,B=(-2,5,1) and C=(3,1,1), how do you calculate 2A-3(B-C)?
What is the projection of onto ?
What is the dot product of and ?
Which of the following is not a vector quantity?
How to find all unit vectors normal to the plane which contains the points , and ?
What is a rank matrix?
How to find unit vector perpendicular to plane: 6x-2y+3z+8=0?
Can we say that a zero matrix is invertible?
How do I find the sum of three vectors?
How do I find the vertical component of a vector?