Diketahui vektor a=-5i +12j dan b = 3i + 4j, maka nilai dari
1) |a+b|
2) |a|+|b|
1) |a+b|
2) |a|+|b|
Jawaban:
(1)
[tex] \sqrt{260} \\ [/tex]
(2) 18
Penjelasan:
(1) a+b = [-5i + 12j] + [3i + 4j]
= [-5 + 3]i + [12 + 4]j
= -2i + 16j
[tex] |a + b| = \sqrt{ { - 2}^{2} + {16}^{2} } \\ = \sqrt{4 + 256} \\ = \sqrt{260} [/tex]
(2)
[tex] |a| = \sqrt{ - {5}^{2} + {12}^{2} } \\ = \sqrt{25 + 144} \\ = \sqrt{169} \\ = 13 [/tex]
[tex] |b| = \sqrt{ {3}^{2} + {4}^{2} } \\ = \sqrt{9 + 16} \\ = \sqrt{25} \\ = 5[/tex]
[tex] |a| + |b| = 13 + 5 = 18[/tex]
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