vector equations in space accelerated math 3. vector r is the position vector to a variable point...
TRANSCRIPT
![Page 1: Vector Equations in Space Accelerated Math 3. Vector r is the position vector to a variable point P(x,y,z) on the line. Point P o =(5,11,13) is a fixed](https://reader035.vdocuments.us/reader035/viewer/2022062511/5514365b550346dd488b623e/html5/thumbnails/1.jpg)
Vector Equations in SpaceAccelerated Math 3
![Page 2: Vector Equations in Space Accelerated Math 3. Vector r is the position vector to a variable point P(x,y,z) on the line. Point P o =(5,11,13) is a fixed](https://reader035.vdocuments.us/reader035/viewer/2022062511/5514365b550346dd488b623e/html5/thumbnails/2.jpg)
Vector r is the position vector to a variable point P(x,y,z) on the line. Point Po=(5,11,13) is a fixed point on the line. Unit vector u points along the line. Let d be the directed distance from Po to P. Thus , the displacement vector from Po to P is oP P du
Note that the position vector r to the variable point is the sum of and the position vector to the fixed point.
du
oP
or P du
![Page 3: Vector Equations in Space Accelerated Math 3. Vector r is the position vector to a variable point P(x,y,z) on the line. Point P o =(5,11,13) is a fixed](https://reader035.vdocuments.us/reader035/viewer/2022062511/5514365b550346dd488b623e/html5/thumbnails/3.jpg)
Ex. 1 Find the particular equation of the line that contains the fixed point Po=(5,11,13) and is parallel to the unit vector 3 6 2
7 7 7u i j k
![Page 4: Vector Equations in Space Accelerated Math 3. Vector r is the position vector to a variable point P(x,y,z) on the line. Point P o =(5,11,13) is a fixed](https://reader035.vdocuments.us/reader035/viewer/2022062511/5514365b550346dd488b623e/html5/thumbnails/4.jpg)
Ex. 2 Find the point on the line in ex. 1 that is at a directed distance of -21 from Po.
![Page 5: Vector Equations in Space Accelerated Math 3. Vector r is the position vector to a variable point P(x,y,z) on the line. Point P o =(5,11,13) is a fixed](https://reader035.vdocuments.us/reader035/viewer/2022062511/5514365b550346dd488b623e/html5/thumbnails/5.jpg)
Ex. 3 Find the point where the line in ex.1 intersects the xy-plane.