determine corss product betwen u= 5i-2j+3k and v=6i-3k
To find the cross product between two vectors, we use the formula:
u x v = (u2v3 - u3v2)i + (u3v1 - u1v3)j + (u1v2 - u2v1)k
Given u = 5i - 2j + 3k and v = 6i - 3k, we can now substitute the values into the formula:
u x v = ((-2)(-3) - (3)(6))i + ((3)(6) - (5)(-3))j + ((5)(-3) - (-2)(6))k
u x v = (6 - 18)i + (18 + 15)j + (-15 - 12)k
u x v = -12i + 33j - 27k
Therefore, the cross product between u and v is -12i + 33j - 27k.