MHB Vector in 3d with given by magnitude and angle

Click For Summary
To express the vector in component form, start by recognizing that it lies in the yz plane with a magnitude of 2 and an angle of 30 degrees with the positive y-axis. The x-component is zero, which simplifies the vector to the form <0, v1, v2>. Using trigonometric definitions, v1 can be calculated as 2 * cos(30°) and v2 as 2 * sin(30°). The final vector in component form is <0, √3, 1>. Understanding these calculations is essential for accurately representing vectors in three-dimensional space.
cbarker1
Gold Member
MHB
Messages
345
Reaction score
23
Dear everyone,Direction Write the vector in component form.

v lies in the yz planeplane, has magnitude 2, and makes an angle of 30 degrees with the positive y axis.

Work
I know that the x component is zero.
<0,v1,v2​>

Thanks
Cbarker1
 
Mathematics news on Phys.org

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Similar threads

High School Notation for a "scalar absolute field"?
  • · Replies 1 ·
Replies
1
Views
2K
MHB Formula for changing a plane intersection angle
  • · Replies 3 ·
Replies
3
Views
3K
High School Expressing Velocity in Vector Form
  • · Replies 25 ·
Replies
25
Views
6K
MHB Left or Right Angles ( + or - ) of adjoining vectors
  • · Replies 2 ·
Replies
2
Views
2K
Are Skew Lines Considered Perpendicular in 3D with Parallel Vectors?
  • · Replies 6 ·
Replies
6
Views
2K
MHB Understanding How to Solve Vector Magnitudes and Angles
  • · Replies 1 ·
Replies
1
Views
2K
MHB Expressing Vectors in x-y Coordinates & Calculating Magnitude & Direction
  • · Replies 1 ·
Replies
1
Views
2K
Defining a vector in magnitude,angle form.
  • · Replies 1 ·
Replies
1
Views
2K
Negative angles (and much more)
  • · Replies 2 ·
Replies
2
Views
1K
Angle projections to Euler angles
  • · Replies 1 ·
Replies
1
Views
4K