Homework SourseFind a vector a that has the same direction as 10 7 10 but h
Find a vector a that has the same direction as (-10, 7, 10) but has length 5. ![Find a vector a that has the same direction as (-10, 7, 10) but has length 5. SolutionThe magnitude f the vector a = (-10,7,10) is [(-10)2 +( 7)2 + (10 )2] = (](/WebImages/46/find-a-vector-a-that-has-the-same-direction-as-10-7-10-but-h-1145348-1761615424-0.webp "Find a vector a that has the same direction as (-10, 7, 10) but has length 5. SolutionThe magnitude f the vector a = (-10,7,10) is [(-10)2 +( 7)2 + (10 )2] = (")
Solution
The magnitude f the vector a = (-10,7,10) is [(-10)2 +( 7)2 + (10 )2] = (100+49+100) =249 . Hence a unit vector with the direction of the vector a is ( -10/249, 7/249,10/249). Finally, a vector with length 5 that has the same direction as a is 5( -10/249, 7/249,10/249) = (-50/249 ,35/249 ,10/249 )
