Determine whether the given vectors parallel, orthogonal, or
neither. If they are neither parallel nor orthogonal,...
Determine whether the given vectors parallel, orthogonal, or
neither. If they are neither parallel nor orthogonal, give the
acute angle between them, to the nearest degree.
a) u = 〈7, −2, 3〉
v = 〈−1, −4, 5〉
b.) u = 〈−3, 4, −6〉
v = 〈-12 , 16,- 24〉
MATLAB
Create a matrix E, using A and B vectors as row 1 and
row 2...
MATLAB
Create a matrix E, using A and B vectors as row 1 and
row 2 respectively
A = 10 thru 1
B = 1 thru 4.2 with ten equally spaced
elements
and
Find the indices (row and col) within E where (prob02a,
b, c, d)
E = 5
E > 4
E < 1.9
E > 1 and E < 2
1. Compute the angle between the vectors u = [2, -1, 1] and and
v =...
1. Compute the angle between the vectors u = [2, -1, 1] and and
v = [1, -2 , -1]
2. Given that : 1. u=[1, -3] and v=[6, 2], are u and v
orthogonal?
3. if u=[1, -3] and v=[k2, k] are orthogonal vectors.
What is the
value(s) of k?
4. Find the distance between u=[root 3, 2, -2] and v=[0, 3,
-3]
5. Normalize the vector u=[root 2, -1, -3].
6. Given that: v1 = [1, - C/7]...
1. Find the area of the parallelogram that has the given vectors
as adjacent sides. Use...
1. Find the area of the parallelogram that has the given vectors
as adjacent sides. Use a computer algebra system or a graphing
utility to verify your result.
u
=
3, 2, −1
v
=
1, 2, 3
3. Find the area of the triangle with the given vertices.
Hint:
1
2
||u ✕ v||
is the area of the triangle having u and
v as adjacent
sides.
A(4, −5, 6), B(0, 1, 2), C(−1, 2, 0)
let us create a variable for a row vector a = [1, 4, 1, 3, 2,...
let us create a variable for a row vector a = [1, 4, 1, 3, 2, 5,
0] and calculate the mean value of its elements using the Matlab
function ‘mean’ and store this value in variable aMean. Fig. 1
gives the Matlab code to do this.
a = [1, 4, 1, 3, 2, 5, 0];
aMean = mean(a);
Figure 1: Matlab code – row vector and mean of its elements.
Let us now construct a row vector b that...
1. Let ⃗u = −2[4,0,1]+[−1,3,−2] and ⃗v = 3[4,0,1]+5[−1,3,−2].
Let w⃗ = 3⃗u−⃗v. Express w⃗ as...
1. Let ⃗u = −2[4,0,1]+[−1,3,−2] and ⃗v = 3[4,0,1]+5[−1,3,−2].
Let w⃗ = 3⃗u−⃗v. Express w⃗ as a linear combination of the vectors
[4, 0, 1] and [−1, 3, −2].
2. Let ⃗u and ⃗v be two vectors in Rn. Suppose that ||⃗u|| = 3,
||⃗u − ⃗v|| = 5, and that⃗u.⃗v = 1. What is ||⃗v||?.
3. Let ⃗u and ⃗v be two vectors in Rn. Suppose that ||⃗u|| = 5
and that ||⃗v|| = 2. Show that ||⃗u −...