Question

Let vector a = 4i +3j and b vector = 3i + 4j .

(A)Find the magnitudes of

(a) a vector
(b) b vector
(c) a vector + b vector and
(d) a vector - b vector

Answer 1

Heya buddy here is your answer...
•°• I hope it helps you

Answer 2

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

All parts are solved.

Hope it helps!