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Why does the cross product give a perpendicular vector?
The cross product gives a perpendicular vector because it is calculated by finding a vector that is perpendicular to both of the original vectors being multiplied. This property is a result of the mathematical definition of the cross product operation.
When displacement have the opposite derection what do you do to determine the magnitude?
Displacement is a vector quantity. Hence, while finding resultant vector we need to use vector algebra and the properties of vectors. If the 2 displacement vectore are in opposite directions,it means that the angle between them is 180degrees and hence we can directly subtract them.
What is the vector quantity for mass?
It isn't, because a mass can only be positive - there are no negative masses. Also mass is only referring to one thing and this doesn't give as much information as a vector quantity. Mass is scalar.
Can two vectors having different magnitude be combined to give a vector sum of zero?
Yes, two vectors with different magnitudes can be combined to give a vector sum of zero if they are in opposite directions and their magnitudes are appropriately chosen. The magnitude of one vector must be equal to the magnitude of the other vector, but in the opposite direction, to result in a vector sum of zero.
What does the addition of 2 vectors give you?
Adding two vectors results in a new vector that represents the combination of the two original vectors. The new vector is defined by finding the sum of the corresponding components of the two vectors.
Why does the cross product give a perpendicular vector?
The cross product gives a perpendicular vector because it is calculated by finding a vector that is perpendicular to both of the original vectors being multiplied. This property is a result of the mathematical definition of the cross product operation.
What is the math defition for cross product?
the cross product is the multiplication of to vectors which results in another vector unlike the dot product witch equals a scalarthe you-tube videos below give more detailhttp://www.youtube.com/watch?v=KDHuWxy53uM&feature=youtube_gdatahttp://www.youtube.com/watch?v=E34CftP455k&feature=youtube_gdatahttp://www.youtube.com/watch?v=enr7JqvehJs&feature=youtube_gdata
Why vector division is not possible?
In the case of the dot product, you would need to find a vector which, multiplied by another vector, gives a certain real number. This vector is not uniquely defined; several different vectors could be used to give the same result, even if the other vector is specified. For the other two common multiplications defined for vector, the inverse of multiplication, i.e. the division, can be clearly defined.
What is the difference between finding the dot product and using scalar multiplication?
They give us different results. The dot product produces a number, while the scalar multiplication produces a vector.
When two vector combine form scalar quantity give example?
Two vector quantities can be combined into a scalar quantity because a vector lives in a vector space, which requires the existence of an operation called the dot product (also commonly known as the scalar product or inner product). The exact form of this operation depends on the type of vector space, and of course one can define other operations which map two vectors into a scalar. A commonly used definition is as follows: Imagine vector one contains these values (x1, x2, x3, x4) and vector two contains these values (y1, y2, y3, y4), the dot product would turn this into: x1*y1 + x2*y2 + x3*y3 + x4*y4 The dot product gives a measure of the angle between two vectors and is often used as such in for example mechanics.
Can you name any uses for dot product or cross product in video games?
The dot product can be used as a half space test. A half space test can be used to determine if an object, lets say a zombie, is in front of the player (or camera) or behind it. If my player's forward vector is P and the vector from the player to the zombie (zombie's position - player's position) is Z, then dotting P and Z would give me the angle between the two vectors. If the angle is positive our player is facing the zombie, otherwise the zombie is behind us (never turn your back on a zombie!).
When displacement have the opposite derection what do you do to determine the magnitude?
Displacement is a vector quantity. Hence, while finding resultant vector we need to use vector algebra and the properties of vectors. If the 2 displacement vectore are in opposite directions,it means that the angle between them is 180degrees and hence we can directly subtract them.
What is a cross product and give an example?
It's part of a proportion. The cross products in a proportion are equal. example: 3/4 = 15/20 4x15 = 60 3x20 = 60
Where can you find College algebra and trigonometry student guide?
Answers for Give Me The Full Meaning Of College Algebra
A website that you can get free algebra 2 answers?
We have a HUGE Math/Algebra section. Post your question and give it a try.
Which of the following values could possibly be vector magnitudes meaning that combined with a direction they could become vector quanities?
6 miles5 meters30 kilometers/hourappexx30 kilometers/hour5 meters6 miles
What' does the addition of two vectors give you?
In vector addition, the sum of two (or more) vectors will give a resultant vector. There are a number of sites that will help you with tutorials. A link to one can be found below.
