When vector overrightarrow (B) is subtracted from vector overrightarrow (A)=4hat (i)-6hat (j) the resulting vector points in the positive x-direction and has a magnitude of 4. The magnitude of dot (B) is A. 6

Question

Answer 1

Let's denote the vector

as

. When vector

\overrightarrow{A}

\overrightarrow{A} - \overrightarrow{B} = (4\hat{i} - 6\hat{j}) - (B_x\hat{i} + B_y\hat{j})

According to the given information, the resulting vector points in the positive x-direction and has a magnitude of 4. Therefore, we have:

(since the vector points in the positive x-direction)Solving for

, we get:

And the magnitude of

is given by:

Since

, we have:

Given that the magnitude of the resulting vector is 4, we have:

Substituting

, we get:

Squaring both sides, we get:

Simplifying, we get:

Solving for

, we get:

Therefore, the magnitude of

is:

So, the correct answer is:A. 6

Soru