Find the cross product of the unit vectors.
j X k
My answer was -i. Am I correct?
Yes
To find the cross product of two vectors, you can use the determinant method.
Let's consider the unit vectors i, j, and k. The cross product formula is as follows:
A x B = (A2B3 - A3B2)i - (A1B3 - A3B1)j + (A1B2 - A2B1)k
In this case, we are calculating the cross product of the unit vector j and the unit vector k.
So, substituting the values into the formula:
j x k = (0*1 - 1*0)i - (1*0 - 0*1)j + (1*1 - 0*0)k
= 0i - 0j + 1k
= k
Therefore, the cross product of the unit vectors j and k is equal to the unit vector k.
Your answer of -i is incorrect. The correct answer is k.
To find the cross product of two vectors, you can use the following formula:
u x v = (u2v3 - u3v2)i - (u1v3 - u3v1)j + (u1v2 - u2v1)k
In this case, you are finding the cross product of j x k.
Let's substitute the values into the formula:
j x k = (0*0 - 0*1)i - (1*0 - 0*0)j + (1*1 - 0*0)k
= 0i - 0j + 1k
= k
Therefore, the cross product of j x k is k, not -i.