- #1
amaresh92
- 163
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what is the angle between vectors AXB and A+B?
1> 90 degree
2> 180 degree
3> 60 degree
4> none of above
1> 90 degree
2> 180 degree
3> 60 degree
4> none of above
Vectors AXB and A+B are both mathematical operations on vectors, but they are different in their meaning and result. AXB represents the cross product of vectors A and B, which results in a new vector perpendicular to both A and B. A+B, on the other hand, represents the addition of vectors A and B, resulting in a new vector with a magnitude and direction determined by the individual components of A and B.
No, the angle between vectors AXB and A+B will always be different. The cross product of vectors A and B, represented by AXB, results in a new vector that is perpendicular to both A and B. On the other hand, the addition of vectors A and B, represented by A+B, results in a vector that is in the same plane as A and B. Therefore, the angle between these two vectors will always be different.
The angle between vectors AXB and A+B can be calculated using the dot product formula: cosθ = (AXB * (A+B)) / (|AXB| * |A+B|), where θ is the angle between the two vectors. This formula uses the magnitudes and dot product of the two vectors to determine the angle between them.
Yes, the angle between vectors AXB and A+B is affected by the magnitude of the vectors. The magnitude of a vector determines the length of the vector, and since the angle between two vectors is calculated using their magnitudes, a change in magnitude will result in a change in the angle between them.
No, the angle between vectors AXB and A+B cannot be greater than 180 degrees. The cross product of two vectors results in a perpendicular vector, which means that the angle between them will always be 90 degrees. Similarly, the addition of two vectors will result in a vector that is either in the same direction or in the opposite direction, resulting in an angle between them of either 0 or 180 degrees.