回答:
#vec c = <24,47i,-40,79j,-16,32k>#
说明:
#vec a = <32i,-38j,-12k>#
#vec b = <18i,-30j,-12k>#
#vec a * vec b = 18 * 32 + 38 * 30 + 12 * 12 =#
#vec a * vec b = 576 + 1140 + 144 = 1860#
#| B | = SQRT(18 ^ 2 + 30 ^ 2 + 12 ^ 2)#
#| B | = SQRT(324 + 900 + 144)#
#| B | = sqrt1368#
#vec c =(vec a * vec b)/(| b | * | b |)* vec b#
#vec c = 1860 /(sqrt 1368 * sqrt 1368)<18i,-30j,-12k>#
#vec c = 1860/1368 <18i,-30j,-12k>#
#vec c = <(1860 * 18i)/ 1368,( - 1860 * 30j)/ 1368,( - 1860 * 12k)/ 1368>#
#vec c = <24,47i,-40,79j,-16,32k>#