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Transcript
```SPECIALIS MATHEMATICS - VECTORS ON TI 89 TITANIUM.
Enter vectors and store using the column
vector notation:
Vectors
Find the angle between vectors
a = 2i + 8j + k
b = 8i - 4j + 13k
To find a unit vector in the direction of
a. Go to Maths, 4: Matrix, L: Vector ops,
1: unitV(
The magnitude of a vector Maths, 4:
Matrix, H Norms 1:norm(
Alternatively find norm( in the Catalog.
To find the dot product, select Maths, 4:
Matrix, L: Vector ops, 3: dotP(
Alternatively use your Vectors program to find the angle, magnitudes, dot product etc.
VECTOR RESOLUTES:
Given that u = 6 i + 2 j − 6k and v = 6 i − 2 j + 6k find:
a. the vector resolutes of v in the direction parallel and perpendicular to u .
Enter both vectors and store as u and v.
v parallel = (v ⋅ uˆ )uˆ
v perpendicular = v − v parallel
Find û :
1
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Find the scalar product of v ⋅ uˆ :
Now find (v ⋅ uˆ )uˆ :
And finally v perpendicular = v − v parallel :
b. the shortest distance form point P to the line parallel to v .
The shortest distance d is equal to the
length of the perpendicular resolute of u
onto v. .
Parallel component:
Length of the perpendicular component:
Perpendicular component:
As a decimal: