Sagot:
# 3sqrt (17) #
Paliwanag:
Una, hayaan nating kalkulahin ang kabuuan ng vector:
Hayaan
#vec (u) = << 5, -6, 9 >> # At
#vec (v) = << 2, -4, -7 >> #
Pagkatapos:
# vec (u) + vec (v) = << 5, -6, 9 >> + << 2, -4, -7 >> #
# ' ' = << (5)+(2), (-6)+(-4), (9)+(-7)>>#
# ' ' = << 7, -10, 2>>#
Kaya ang metric norm ay:
# || vec (u) + vec (v) || = || << 7, -10, 2 >> || #
# "" = sqrt ((7) ^ 2 + (-10) ^ 2 + (2) ^ 2) #
# "" = sqrt (49 + 100 + 4) #
# "" = sqrt (153) #
# "" = 3sqrt (17) #