Considering that u and v are vectors in W, let W be a subset of the vector space V. If () belongs to W, then W is a subspace of V:
Select one: True or False
Subspace: Suppose that V is a vector space and W is a subset of . Give W the same capabilities as V. Then W is a subspace if and only if three conditions are met
- W is non-empty, .
- If and , then .
- If and , then .
The given statement is, Let W be a subset of the vector space V where u and v are vectors in W. If (u+v) belongs to W, then W is a subspace of V. Since the remaining two conditions are not satisfied, therefore the given statement is False.
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?