Question

If vectors a and b are 3i^-4j^+5k^ and 2i^+3j^-4k^.respectively find the unit vector parallel to a vector plus b vector. .

Answer 1

Answer:5i-j+k/root over 27

Explanation:

Answer 2

Answer: a vector + b vector = 5i - j + k/ 3$\sqrt{3\\}$

Explanation:

a vector = 3i-4j+5k

b vector = 2i+3j-4k

a vector+ b vector =(3+2)i + (-4=3)j + (5-4)k

                               = 5i - j + k

l a vector + b vector l = $\sqrt{5^2+(-1)^2+1^2}$

                                     =$\sqrt{27$

                                     =3$\sqrt{3$

Therefore, unit vector parallel to a vector + b vector= a vectar + b vectar/la vectar + b vectarl

= 5i - j + k / 3$\sqrt{3$