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Questions and Answers
Which of the following is the rule for vector addition of two or more vectors according to the parallelogram law?
How can vector addition be performed in Cartesian coordinates?
What is the notation used in the Wolfram Language to indicate vector addition?
What is the sum of vectors $\mathbf{u} = \langle u_1, u_2 \rangle$ and $\mathbf{v} = \langle v_1, v_2 \rangle$?
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What is the sum of vectors $\mathbf{a} = \langle a_1, a_2, ..., a_n \rangle$ and $\mathbf{b} = \langle b_1, b_2, ..., b_n \rangle$?
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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〉.
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Description
Test your knowledge of vector addition with this quiz! Explore the parallelogram law and learn how to add two or more vectors together to obtain a vector sum.
