Two vectors are given by A ⃗= i+j and B ⃗= 3i+4j. Find the magnitude of A ⃗ and B ⃗?

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Answer 1 · 2018-03-30T11:52:47

See the explanation below

The magnitude of a vector #vecC=aveci+bvecj# is

#||vecC||=|| < a, b >|| = sqrt(a^2+b^2)#

Here,

#vecA=1veci+1vecj = <1,1>#

The magnitude is

#||vecA|| = || <1,1> || = sqrt(1^2+1^2) = sqrt2#

#vecB=3veci + 4vecj = <3, 4>#

The magnitude is

#||vecB|| = || <3,4> || = sqrt(3^2+4^2) = sqrt25=5#