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16 votes
16 votes
Given the vectors v=3i-2j and w=-i+5j, find v · w.

User Jesal
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2 Answers

15 votes
15 votes

Answer:

v.w = -13

Explanation:

v.w = (3i - 2j).(-i + 5j) = 3 × -1 × i.i + 3 × 5 × i.j + -2×-1 × j.i + -2×5 × j.j

i.i = j.j = 1 , i.j = j.i = 0

v.w = -3 - 10 = -13

User Rashel
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2.9k points
21 votes
21 votes

v * w = (3i - 2j) *(-i + 5j) = 3(-1) + (-2)(5) = -3 + -10 = -13

Hope that helps!

User Indra
by
2.9k points