If the perpendicular components
and
of a vector
are known, then
can also be found analytically. To find the magnitude
and direction
of a vector from its perpendicular components
and
, we use the following relationships:
Note that the equation
is just the Pythagorean theorem relating the legs of a right triangle to the length of the hypotenuse. For example, if
and
are 9 and 5 blocks, respectively, then
blocks, again consistent with the example of the person walking in a city. Finally, the direction is
, as before.
Determining vectors and vector components with analytical methods
Equations
and
are used to find the perpendicular components of a vector—that is, to go from
and
to
and
. Equations
and
are used to find a vector from its perpendicular components—that is, to go from
and
to
and
. Both processes are crucial to analytical methods of vector addition and subtraction.
Adding vectors using analytical methods
To see how to add vectors using perpendicular components, consider
[link] , in which the vectors
and
are added to produce the resultant
.
If
and
represent two legs of a walk (two displacements), then
is the total displacement. The person taking the walk ends up at the tip of
There are many ways to arrive at the same point. In particular, the person could have walked first in the
x -direction and then in the
y -direction. Those paths are the
x - and
y -components of the resultant,
and
. If we know
and
, we can find
and
using the equations
and
. When you use the analytical method of vector addition, you can determine the components or the magnitude and direction of a vector.
Step 1.Identify the x- and y-axes that will be used in the problem. Then, find the components of each vector to be added along the chosen perpendicular axes . Use the equations
and
to find the components. In
[link] , these components are
,
,
, and
. The angles that vectors
and
make with the
x -axis are
and
, respectively.
Step 2.Find the components of the resultant along each axis by adding the components of the individual vectors along that axis . That is, as shown in
[link] ,
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
hello. autism is a umbrella term. autistic kids have different disorder overlapping. for example. a kid may show symptoms of ADHD and also learning disabilities.
before treatment please make sure the kid doesn't have physical disabilities like hearing..vision..speech problem. sometimes these
Jharna
continue..
sometimes due to these physical problems..the diagnosis may be misdiagnosed.
treatment for autism.
well it depends on the severity.
since autistic kids have problems in communicating and adopting to the environment.. it's best to expose the child in situations where the child
Jharna
child interact with other kids under doc supervision.
play therapy.
speech therapy.
Engaging in different activities that activate most parts of the brain.. like drawing..painting. matching color board game.
string and beads game.
the more you interact with the child the more effective
Jharna
results you'll get..
please consult a therapist to know what suits best on your child.
and last as a parent. I know sometimes it's overwhelming to guide a special kid.
but trust the process and be strong and patient as a parent.
Jharna
Got questions? Join the online conversation and get instant answers!