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amy098yay
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Homework Statement
Use three specific vectors in 3 space to show that ⃗ a ×(b⃗ ×c⃗ ) ≠ (a⃗ ×b⃗ )×c⃗
solution is in pdf...
Looks good now.amy098yay said:Homework Statement
Use three specific vectors in 3 space to show that ⃗ a ×(b⃗ ×c⃗ ) ≠ (a⃗ ×b⃗ )×c⃗
solution is in pdf...
Homework Equations
The Attempt at a Solution
A vector in math is a mathematical object that has both magnitude (size) and direction. It is represented by an arrow pointing in the direction of the vector and its length represents the magnitude.
To add two vectors, you first place them head-to-tail (one vector's tail touching the head of the other). Then, the sum of the two vectors is the vector connecting the tail of the first vector to the head of the second vector. This is known as the parallelogram method of vector addition.
A vector has both magnitude and direction, while a scalar only has magnitude. In other words, a vector tells you how far and in which direction to go, while a scalar only tells you how far to go.
The magnitude of a vector is found using the Pythagorean theorem. It is the square root of the sum of the squares of its components. For example, the magnitude of a vector with components (3,4) would be √(3²+4²) = √25 = 5.
Yes, you can have a negative vector. This simply means that the vector is pointing in the opposite direction of its positive counterpart. For example, a vector with a magnitude of 5 pointing in the negative y-direction would be represented as (0, -5).