GENERAL KNOWLEDGE

GK

PHYSICS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
In a coordinate system, a vector is oriented at angle with respect to the x-axis. The x component of the vector equals the vector’s magnitude multiplied by which trigonometric function?
A
tan
B
cos
C
cot
D
sin
Explanation: 

Detailed explanation-1: -In a coordinate system, a vector is oriented at angle theta with respect to the x-axis.

Detailed explanation-2: -In a coordinate system, a vector is oriented at an angle with respect to the x-axis.

Detailed explanation-3: -MAGNITUDE AND DIRECTION OF A VECTOR Given a position vector →v=⟨a, b⟩, the magnitude is found by |v|=√a2+b2. The direction is equal to the angle formed with the x-axis, or with the y-axis, depending on the application. For a position vector, the direction is found by tan=(ba)⇒=tan−1(ba), as illustrated in Figure 8.8.

Detailed explanation-4: -If the vector is pointing along the positive x-axis, then the angle is 0˚ (0 radians). If it is pointing along the negative x-axis, then the angle is 180˚ ( radians). If it points along the positive y-axis, the angle is 90˚ (/2 radians), and if it points along the negative y-axis, the angle is 270˚ (3/2 radians).

There is 1 question to complete.