Question

DETAILS LARLINALG8 5.R.013. Consider the vector v = (2, 2, 6). Find u such that the following is true. (a) The vector u has the same direction as v and one-half its length. (b) The vector u has the direction opposite that of v and one-fourth its length. u (c) The vector u has the direction opposite that of v and twice its length. U=

Answer 1

3 ne Illell Sol"} Giren rector &=(2, 2,6) Now 11vll= de? +2²+62 = 54+4+36= 544 = 2511 Now Unit vector in direction of vie Get a) The vertor u = 1 ton) = (EVT INTENT) direction as ge and one halfite length. The vector u = 16 ) = ( to Chem Condo Pel the direction opposite that ofre and one forth ite length. has the same -3 by 4/m
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e) The vector u = -2 -2 ( 1 ) - ( 2 ) has the direction opposite that of re and twice ite length.
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