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Example Questions
Example Question #71 : Vector Calculations
What is the norm of ?
In order to find the norm of a vector, we must first find the sum of the squares of the vector's elements and take the square root of that sum. Given , then:
Example Question #72 : Vector Calculations
What is the norm of ?
In order to find the norm of a vector, we must first find the sum of the squares of the vector's elements and take the square root of that sum. Given , then:
Example Question #571 : Parametric, Polar, And Vector
What is the norm of ?
In order to find the norm of a vector, we must first find the sum of the squares of the vector's elements and take the square root of that sum. Given , then:
Example Question #74 : Vector Calculations
What is the cross product of and ?
In order to find the cross product of two three-dimensional vectors, we must find the determinant of a matrix comprised of the vectors' elements. That is, if and , then
.
Given and , the cross product is:
Example Question #75 : Vector Calculations
What is the cross product of and ?
In order to find the cross product of two three-dimensional vectors, we must find the determinant of a matrix comprised of the vectors' elements. That is, if and , then
.
Given and the cross product is:
Example Question #76 : Vector Calculations
What is the cross product of and ?
In order to find the cross product of two three-dimensional vectors, we must find the determinant of a matrix comprised of the vectors' elements. That is, if and , then
.
Given and , the cross product is:
Example Question #77 : Vector Calculations
What is the dot product of and ?
The dot product of two vectors is the sum of the products of the vectors' corresponding elements. Given and , then:
Example Question #78 : Vector Calculations
What is the dot product of and ?
The dot product of two vectors is the sum of the products of the vectors' corresponding elements. Given and , then:
Example Question #79 : Vector Calculations
What is the dot product of and ?
The dot product of two vectors is the sum of the products of the vectors' corresponding elements. Given and ?hen:
Example Question #80 : Vector Calculations
What is the norm of ?
In order to find the norm of a vector, we must first find the sum of the squares of the vector's elements and take the square root of that sum. Given , then:
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