Question

If a = 3i+4jand b = 4i+3j, what is the angle between vectors à andb anwer it with explanation. then i will make is as brillianist​

Answer 1

Answer:

Thanks for asking the question!

SOLUTION::

As it is given in question ,

a vector = 4i +3j

b vector = 3i + 4j

(a) Magnitude of a vector , |a| = √(4² + 3²) = √25 = 5

(b) Magnitude of b vector , |b| = √(3²+4²) = √25 = 5

(c) Magnitude of a vector + b vector , |a+b| = |4i + 3j +3i + 4j| = |7i + 7j|

= √(7² + 7²)

= 7√2

(d) Magnitude of a vector - b vector,|a+b| = |( 4-3)i +(3-4)j| = 1i -1j

=√[1²+(-1)²]

= √2

Answer 2

Answer:

Explanation:

angle bw 2 vectors:

cosθ=a.b/lallbl

θ=angle bw vectors

lal&lbl=magnitude of a and b

a.b=(3*4)+(4*3)

   =24

lal=√(3²+4²)=5

lbl=√(4²+3²)=5

∴cosθ=24/(5*5)=24/25

θ=cos⁻¹(24/25)