Given the two vectors, \(\displaystyle\vec{{{A}}}={2}\hat{{{i}}}+{4}\hat{{{j}}}\), and

brunocazelles4dvb

brunocazelles4dvb

Answered question

2022-03-25

Given the two vectors, A=2i^+4j^, and B=1i^+6j^, what is the angle between them in degrees?

Answer & Explanation

Nyla Trujillo

Nyla Trujillo

Beginner2022-03-26Added 9 answers

Step 1
The expression for the angle between the vectors is,
cosθ=|AB|A||B||
θ=cos1|AB|A||B||
Step 2
Substitute the values,
θ=cos1(2i^+4j^)(1i^+6j^)[(2)2+(4)2()][(1)2+(6)2()]
=cos1(2227.2)
=36.02

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