Question

Which components are a possible representation of vector u if ||-4u|| ≈ 14.42?

Answer 1

Answer:

Step-by-step explanation:

Check for each vector

$u=\\4u=\\||4u||=\sqrt{12^2+8^2}\\=\sqrt{208} \\=14.42$

Hence this is the required vector.

$u=\\4u=\\||4u||=\sqrt{4^2+16^2}=16.49$

$u=\\4u=\\||4u||=\sqrt{8^2+8^2}=11.31$

$u=\\4u=\\||4u||=\sqrt{8^2+16^2}=17.889$

Hence required vector $=$