Questions and Answers
Which of the following is the rule for vector addition of two or more vectors according to the parallelogram law?
Placing the vectors head to tail and drawing the vector from the free tail to the free head
How can vector addition be performed in Cartesian coordinates?
By adding the corresponding components of the vectors
What is the notation used in the Wolfram Language to indicate vector addition?
Plus sign
What is the sum of vectors $\mathbf{u} = \langle u_1, u_2 \rangle$ and $\mathbf{v} = \langle v_1, v_2 \rangle$?
Signup and view all the answers
What is the sum of vectors $\mathbf{a} = \langle a_1, a_2, ..., a_n \rangle$ and $\mathbf{b} = \langle b_1, b_2, ..., b_n \rangle$?
Signup and view all the answers
Study Notes
Vector Addition Rules
- According to the parallelogram law, when adding two or more vectors, the resultant vector is the diagonal of a parallelogram formed by the vectors being added.
Vector Addition in Cartesian Coordinates
- To add vectors in Cartesian coordinates, add corresponding components (x and y) separately.
Vector Addition Notation
- In the Wolfram Language, vector addition is indicated by the
+operator.
Sum of Vectors
- The sum of vectors u = 〈u1, u2〉 and v = 〈v1, v2〉 is 〈u1 + v1, u2 + v2〉.
- The sum of vectors a = 〈a1, a2, ..., an〉 and b = 〈b1, b2, ..., bn〉 is 〈a1 + b1, a2 + b2, ..., an + bn〉.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
