Question #41020

Vector a has components ax = 15 and ay = 9 What is the approximate magnitude of the
vector ?
a) 17.5 b) 24 c) 10.9 d) 6.87 e) 12

Expert's answer

Answer on Question#41020, Physics, Mechanics

Question:

Vector a has components ax=15ax = 15 and ay=9ay = 9 . What is the approximate magnitude of the vector?

a) 17.5 b) 24 c) 10.9 d) 6.87 e) 12

Answer:


Using Pythagorean theorem:


a=ax2+ay2=152+92=17.5a = \sqrt {a _ {x} ^ {2} + a _ {y} ^ {2}} = \sqrt {1 5 ^ {2} + 9 ^ {2}} = 1 7. 5


Answer: a) 17.5

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