How do you perform scalar multiplication with vectors?

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Answer 1 · 2018-06-02T17:59:05

Multiply each component by said scalar

Given a vector #v# of any dimension:

#v = (v_1, v_2, ..., v_n)#

The multiplication between #v# and any scalar #lambda# is defined as

#lambda v = (lambda v_1, lambda v_2, ..., lambda v_n)#

For example, if #n=3# and you consider #v = (1,4,-6)# and #lambda=2# you have

#lambda v = 2v = (2,8,-12)#