Question

If x & y components of a vector P have numerical values 5 & 6 respectively & that of vector P + vector

Q have magnitude 10 & 9, find the magnitude of vector Q.​

Answer 1

Answer:

Explanation:

According to the question

varP=5+ˆ6jˆ

andP→+Q→=10iˆ+9jˆ

⇒Q→=(10iˆ+9jˆ)−(P→)

=(10iˆ+9jˆ)+(−P→)

=10iˆ+9jˆ−5jˆ−6jˆ

(10−5)jˆ+(9−6)jˆ

⇒Q→=5jˆ+3jˆ

or∣∣∣Q→∣∣∣=52+32−−−−−−√

=25+9−−−−−√

∣∣∣Q→∣∣∣=34−−√

Angle that Q→ makes with positive x-axis , θ=tan−1(35)

30.96∘