A vector overrightarrow (B) , when added to vector overrightarrow (C)=3i+4j yields a resultant vector which is in the positive y direction and has a magnitude equal to that of overrightarrow (C) . What is the magnitude of overrightarrow (B)

Question

Answer 1

To find the magnitude of vector

, we need to determine the components of

first. Since the resultant vector is in the positive y direction and has the same magnitude as

, we can write the resultant vector as

. Using the vector addition formula, we have:

Substituting the given values, we get:

Simplifying the equation, we have:

Therefore, the components of

are

. To find the magnitude of

, we use the formula magnitude of a vector:

So, the magnitude of

is

.

Soru