Vectors

Step 1: Formula for Cross Product Magnitude.
The magnitude of the cross product of two vectors is given by the formula: where:
is the magnitude of vector ,
is the magnitude of vector ,
is the angle between the two vectors.
Step 2: Plugging in Known Values.
We are given:
,
,
.
Substituting these values into the formula: Since , we have: Step 3: Solving for .
Now solve for : Step 4: Conclusion.
Thus, the magnitude of vector is .