Vectors

Step 1: Let $%5Cvec%7BA%7D$ and $%5Cvec%7BB%7D$ be two vectors with an angle $%5Ctheta$ between them.

Step 2: The term $%5Cvec%7BB%7D%20-%20%5Cvec%7BB%7D%20%5Csin%20%5Ctheta%20%5Chat%7Ba%7D_%5Cperp$ can be interpreted as the component of $%5Cvec%7BB%7D$ along the direction of $%5Cvec%7BA%7D$ . This is because $%5Chat%7Ba%7D_%5Cperp$ is the unit vector perpendicular to $%5Cvec%7BA%7D$ , and $%5Cvec%7BB%7D%20%5Csin%20%5Ctheta%20%5Chat%7Ba%7D_%5Cperp$ represents the perpendicular component of $%5Cvec%7BB%7D$ to $%5Cvec%7BA%7D$ .

Step 3: The remaining vector $%5Cvec%7BB%7D%20-%20%5Cvec%7BB%7D%20%5Csin%20%5Ctheta%20%5Chat%7Ba%7D_%5Cperp$ is thus aligned with the direction of $%5Cvec%7BA%7D$ . Therefore, the correct direction is along $%5Cvec%7BA%7D$ .

High-Yield Trend

Chapter Questions
1 MCQs

Official Solution

Vectors

High-Yield Trend

Chapter Questions 1 MCQs

Official Solution

Chapter Questions
1 MCQs