Question

Suppose we have a vector A and vector C = 12B. How is the direction of vector A × B related to the direction of vector C × A.
Give explaination in 40-60 words.​

Answer 1

Answer:

Vector A×B will be opposite to the direction of Vector C×A

Explanation:

Given: Vector C = 12 Vector B

Therefore, Vector B and Vector C are along the same direction, differing only in magnitude.

According to the right hand rule, (Refer section 1.5.3 Vector product of Vectors in the NIOS Physics Book 1) The vector product of A×B is a vector X whose direction is found by the direction of your thumb with the fingers of your right hand curling from A to B along the smaller angle between them. The direction of your thumb gives the direction of the product Vector X.

From this, it is easy to say that the Vector Product of A×B is opposite to B×A. And since Vector B and C are along the same direction,

Vector product of A×B will be opposite to the direction of Vector product of C×A

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