Tutorial 1 Vector Calculus FDM1033, May 2015
1. Find the magnitude of the vector PQ with P(1,2) and Q(5,5) .
2. Find the length of the vector v 2,3,7 .
3. Given the points in 3-dimensional space, P(2,1,5), Q(3,5,7), R(1,3,2) and S (2,1,0) . Does
PQ RS ?
4
Crystallisation Techniques
Crystal Quality
The most promising crystals are transparent and sharp edged with
the preferred dimensions 0.1 to 0.4mm. Acceptable crystals may be
produced serendipitously from the preparative route. The first visual
inspection
HW #1 due Thurs. Jan 14 in recitation
Read: sections 1.1-1.4 and the beginning of section 1.5 of the text.
Do End-of-Chapter Exercises: 1.1, 1.2, 1.5, 1.6 (the solution manual says target (C) is neither
precise nor accurate. Do you agree? Does it depend o
Raymond Kakala
Section R
Sep 28, 2016
Lab FV
In this experiment, we have chosen different masses for each of the points and balanced the angles so
that they are in equilibrium.
Table 1 shows the result which contains the forces in each components as well
Raymond Kakala
Section R
Sep 10, 2016
Lab PM
How does the range of the projectile motion change with the angle?
The experiment was repeated 3 times for 6 different angles. For each angle, the range of the motion is
recorded and a graph of the sin2 vs rang
Licorice
Able to stretch
for a small
length before
snapping in to 2.
PART 1
Gum
Bubble Gum
Able to stretch
Unable to be
for a small
stretched.
length before
snapping into 2.
Bent
Bends according
to shape and
returns to
original shape
quickly.
Bends accord
Portfolio Assignment Reflection
In my Portfolio, I have redesigned certain parts of my paper. I have added 2 more pictures which are
the ripple on water and the superposition principle explained. I added the ripple on water picture
because I wanted to hig
Flow Area of Pipe week 14
The code is as follows
Option Explicit
Public Function FlowAreaPipe(pdiam As Double, depth As Double)
Dim r As Double
r = pdiam / 2
If (depth <= 0) Then
FlowAreaPipe = 0
Exit Function
End If
If (depth >= pdiam) Then
FlowAreaPipe
PLANE,
NORMAL
LANE AND
ULATING P
OS C
G PLANE
RECTIFYIN
C2L5
NORMAL PLANE
At any point t, the plane through the curve R(t ) and normal to the tangent vector T (t ) is called the normal plane
to the curve at t. The unit normal vector N (t ) and the binorma
Cylindrical and Spherical
Coordinates
C1L6
1
Learning Outcomes
At the end of the lesson, the
students should be able to:
1. Convert the cylindrical coordinates
to rectangular coordinates or vice
versa.
2. Express the spherical coordinates to
rectangular c
Distance Involving Planes and Lines
C1L5
1
Learning Outcomes
At the end of the lesson you should be able
to:
1. Find the angle between two intersecting
planes.
2. Find the distance involving planes and lines.
2
Distance Involving Planes and Lines
1.
2.
3.
Distance Involving Planes and Lines
C1L5
1
Learning Outcomes
At the end of the lesson you should be able
to:
1. Find the distance involving planes and lines.
2
Distance Involving Planes and Lines
1.
2.
3.
Cases:
Distance between a point and a plane
Distan
Planes in Three Space
C1L4
1
Learning Outcomes
At the end of the lesson you should be able
to:
1. Define a plane.
2. Find the equation of the plane.
2
Planes
In mathematics, a plane is a flat surface.
Although a line in space can be determined by
a poin
Parametric Equations of Lines
C1L3
1
Vector Equations of A Line
A line in 2- and 3-space can be determined uniquely provided,
either
a point where the line passes thru
and its direction are given
v
point
r0
direction
or
two points connecting the line
CHEM 177L Spring 2016 - Raymond Kakala
Weekly Notes/Week 6
PDF Version generated by
Raymond Kakala
on
Feb 18, 2016 @08:17 PM PST
Table of Contents
Table of Contents
Week 6
1
2
Week 6/
2 of 5
Week 6
Raymond Kakala Feb 14, 2016 @03:22 PM PST
Identifying A C