What is the direction of the resultant vector in cross product?
The direction of the resultant vector can be determined by the right-hand rule. The thumb (u) and index finger (v) held perpendicularly to one another represent the vectors and the middle finger held perpendicularly to the index and thumb indicates the direction of the cross vector.
What is resultant direction vector?
The direction of the resultant can be determined by finding the angle that the resultant makes with either the north-south or the east-west vector. The diagram at the right shows the angle theta (Θ) marked inside the vector addition triangle. This angle theta is the angle that the resultant makes with west.
What is used to determine the direction of the resulting cross product direction?
The right hand rule is a visualization technique used to determine the correct direction of a vector resulting from vector cross-product multiplication. So it may give you the wrong answer if you use it when solving equations involving vector cross-product multiplication. …
Which direction does the cross product go?
is the angle between the two vectors. The direction of the cross product is perpendicular to both of the vectors. To get the correct orientation, use the right-hand rule.
What is the direction of vector a cross vector B?
The cross product a × b is defined as a vector c that is perpendicular (orthogonal) to both a and b, with a direction given by the right-hand rule and a magnitude equal to the area of the parallelogram that the vectors span.
What is the direction of the vector produced by the cross product of two vectors r and s?
The direction of the cross product is perpendicular to the plane defined by the two crossed vectors.
How do you know the resultant direction?
Two forces that act in opposite directions produce a resultant force that is smaller than either individual force. To find the resultant force subtract the magnitude of the smaller force from the magnitude of the larger force. The direction of the resultant force is in the same direction as the larger force.
What is the direction of the vector product?
By definition the direction of the vector product is such that it is at right angles to both a and b. This means it is at right angles to the plane in which a and b lie.
Is the cross product distributive?
The vector cross product is distributive over addition. That is, in general: a×(b+c)=(a×b)+(a×c)