Question regarding vector calculus

In summary, vector calculus is a branch of mathematics that deals with the differentiation and integration of vector fields. It has many practical applications in fields such as physics, engineering, and computer graphics. Some key concepts in vector calculus include vector operations, vector fields, gradients, and line integrals. It is closely related to other branches of mathematics, such as linear algebra and differential equations, and has connections to geometry and trigonometry. Resources for learning vector calculus include textbooks, online courses, and video tutorials.
  • #1
anitotino
1
0
I have a question regarding vector calculus


A particle P, Whose position vector is r=ti-(t+1)j+t^2k, moves along a curve. Draw curve "C" on -5<t<5 and write the:
a) Parametric vector equation & symmetric equations of the tangent to the curve at (1,-2,1).
b)Find all vector of t for which P is moving perpendicular to & parallel to vector A=3i+j-k
c)What is the component of the vector A along the direction of the motion when t=2.


thanks
 
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  • #2
Post this is the homework section and show your attempt at a solution.
 

Related to Question regarding vector calculus

1. What is vector calculus?

Vector calculus is a branch of mathematics that deals with the differentiation and integration of vector fields. It involves the study of vector functions, which have both magnitude and direction, and their derivatives and integrals.

2. What are the main applications of vector calculus?

Vector calculus has many practical applications, including in physics, engineering, and computer graphics. It is used to describe and analyze physical phenomena such as motion, electricity and magnetism, fluid dynamics, and more.

3. What are the key concepts in vector calculus?

The key concepts in vector calculus include vector operations (such as addition, subtraction, and scalar multiplication), vector fields, gradients, line integrals, surface integrals, and the fundamental theorem of calculus.

4. How is vector calculus related to other branches of mathematics?

Vector calculus is closely related to other branches of mathematics, such as linear algebra and differential equations. It also has connections to geometry and trigonometry, as well as to the fundamental principles of calculus.

5. What are some resources for learning vector calculus?

There are many resources available for learning vector calculus, including textbooks, online courses, and video tutorials. Some popular textbooks include "Vector Calculus" by Jerrold E. Marsden and Anthony J. Tromba, and "Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach" by John H. Hubbard and Barbara Burke Hubbard. Khan Academy also offers a comprehensive online course on vector calculus.

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