(32i-38j-12k)到(18i-30j-12k)的投影是什么?

(32i-38j-12k)到(18i-30j-12k)的投影是什么?
Anonim

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>#