- #1
bngo93
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vectors a - b + c = 0 ,determine the values of a dot b - adot c - b dot c if
|a|=1, |b|=2 and |c|=3
|a|=1, |b|=2 and |c|=3
Vectors are mathematical objects that have both magnitude and direction. They can be represented geometrically as arrows with a certain length and direction, or algebraically as an ordered list of numbers.
The dot product, also known as the scalar product, is a mathematical operation between two vectors that results in a single scalar value. It is calculated by multiplying the corresponding components of the vectors and then adding them together.
The dot product has several important applications in mathematics and physics. It can be used to find the angle between two vectors, determine if two vectors are perpendicular, and calculate the projection of one vector onto another.
To determine the values of vectors using dot products, you can set up a system of equations and solve for the unknown variables. This can be done by setting the dot product of two vectors equal to a known value and then solving for the unknown variables.
Yes, the dot product can be negative. This occurs when the angle between two vectors is greater than 90 degrees, which means the vectors are pointing in opposite directions. In this case, the dot product is negative because the two vectors are "opposed" to each other.