two vectors as given A=2i -5j+2k and b=4i-10j+ck what should be the value of c so that A and B vectors be parallel
Answers
Answer:
given 2 vectors
u = u1i + u2j + u3k and
v= v1i + v2j + v3k,
the cross product is
(u2v3 - v2u3)i + (u3v1 - v3u1)j + (u1v2 - v1u2)k.
Plugging in the given coordinates, we have
((-5)*2 - 5*10)i + (10*6 - 2*3)j + (3*5 -6*(-5))k = -60i + 54j + 45k
To get the unit vector, we divide this by its magnitude, which is the square root of 60^2 + 54^2 + 45^2 = 3600 + 2916 + 2025 = 8541.
That square root is 92.42 to 2 decimal places. Which means that the unit vector you seek is approximately (-60i + 54j + 45k)/92.42,
Step-by-step explanation:
hope it helps you
Answer:
Cross product formula determines the cross product for any two given vectors by giving the area between those vectors. The cross product formula is given as,→A×→B=|A||B|sinθ A → × B → = | A | | B | s i n