Grade 12 University: Algebraic vectors help

In summary, algebraic vectors are mathematical quantities that have both magnitude and direction and are represented by an arrow with a specific length and direction. In Grade 12 University level, they are used to solve problems involving displacement, velocity, acceleration, and forces, as well as in geometric proofs and real-world situations. The main difference between a scalar and a vector is that a scalar only has magnitude while a vector has both magnitude and direction. To find the magnitude of an algebraic vector, you must take the square root of the sum of the squares of its components. Algebraic vectors can be used to solve real-world problems by representing physical quantities and using vector addition and subtraction to determine resultant displacement or velocity and solve problems involving multiple forces.
  • #1
Imming
2
0
Hi everyone!
1. Homework Statement

α=90°
β=31°
[itex]\gamma[/itex]=121°

2. Homework Equations
I need to determine the magnitude of one of the sides?



3. The Attempt at a Solution




I don't understand how to solve for the magnitude.
 
Last edited:
Physics news on Phys.org
  • #2
One of the sides of what? What are these angles of?

Note that there is a template suggested when you make a new thread which I'll repost here:

Homework Statement


Homework Equations


The Attempt at a Solution


This is suggested for a reason, following it allows us to help you far more efficiently
 

FAQ: Grade 12 University: Algebraic vectors help

What are algebraic vectors?

Algebraic vectors are mathematical quantities that have both magnitude and direction. They are represented by an arrow pointing in a specific direction and have a specific length, which indicates their magnitude.

How are algebraic vectors used in Grade 12 University level?

In Grade 12 University level, algebraic vectors are used to solve problems involving displacement, velocity, acceleration, and forces. They are also used in geometric proofs and to represent real-world situations, such as the motion of an object.

What is the difference between a scalar and a vector?

A scalar is a quantity that has only magnitude, while a vector has both magnitude and direction. Scalars can be added or subtracted using basic arithmetic, while vectors must be added or subtracted using vector addition or subtraction rules.

How do you find the magnitude of an algebraic vector?

The magnitude of an algebraic vector is found by taking the square root of the sum of the squares of its components. For example, if a vector has components of (3,4), its magnitude would be √(3^2 + 4^2) = 5.

How can I use algebraic vectors to solve real-world problems?

Algebraic vectors can be used to represent physical quantities, such as displacement, velocity, and forces, in real-world situations. By using vector addition and subtraction, you can solve problems involving multiple forces acting on an object or determine the resultant displacement or velocity of an object.

Similar threads

Show injectivity, surjectivity and kernel of groups
Replies
1
Views
1K
Proving S is a Subset of T in R³
Replies
1
Views
1K
Is N3 a Subgroup of Dihedral Group Dih(12)?
Replies
6
Views
2K
Prove that C[a;b] satisfies 8 axioms of vector space
Replies
2
Views
5K
But, as I said, you don't actually need the coordinates at all.
Replies
2
Views
2K
Alternative Vector Method to Finding Angles of Vertices of Triangle?
Replies
12
Views
4K
Optimization lagrangian problem
Replies
1
Views
1K
Is My Fourier Series Expansion of a Sawtooth Wave Correct?
Replies
9
Views
2K
Find the Coordinates/Magnitude of projection of two vectors
Replies
3
Views
1K
Creating a question with vectors in 3-space (perpendicular)
Replies
14
Views
2K

Hot Threads

Recent Insights

Back
Top