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draotic
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Homework Statement
Given A . B=0 and A x C=0...whats the angle b/w B and C?
must b 180 or 0tiny-tim said:uh-uh, i asked first! …
whats the angle b/w A and C?
draotic said:must b 180 or 0
collinear!tiny-tim said:in other words, A and C are … ?
wats it?tiny-tim said:yup!
so given A . B=0 ...whats the angle b/w B and C?
tiny-tim said:yup!
so given A . B=0 ...whats the angle b/w B and C?
draotic said:thank you sir
its 90 ,right?
The cross product of two vectors results in a vector that is perpendicular to both of the original vectors. The dot product, on the other hand, results in a scalar value that represents the magnitude of the projection of one vector onto the other.
The cross product is calculated by taking the determinant of a 3x3 matrix composed of the unit vectors (i, j, k) and the components of the two vectors. Alternatively, it can be calculated by using the formula |a||b|sin(theta), where a and b are the two vectors and theta is the angle between them.
The cross product has various physical applications, such as determining the torque on an object, calculating the magnetic field generated by a current-carrying wire, and determining the angular momentum of a rotating object.
No, the cross product is only defined in three dimensions. In higher dimensions, the concept of a cross product does not apply and other methods, such as the wedge product, must be used.
The dot product is directly related to the angle between two vectors. The dot product of two vectors is equal to the product of their magnitudes and the cosine of the angle between them. This relationship can be used to determine the angle between two vectors given their dot product and magnitudes.