If a vector α makes an angle θ with the x-axis its x-component is given as:
Correct answer: A. a cos θ
- A. a cos θ
- B. a sin θ
- C. a tan θ
- D. a sin α
Explanation
When a vector α makes an angle θ with the x-axis, its x-component can be calculated using the formula: x = a * cos(θ), where "a" represents the magnitude of the vector. The cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse in a right triangle. In this case, the adjacent side represents the x-component of the vector, and the hypotenuse represents the magnitude of the vector. So, by multiplying the magnitude of the vector by the cosine of the angle θ, we can find the x-component of the vector. This formula is derived from the concept of trigonometry and is widely used in vector calculations.
Last updated
About Vectors and Equilibrium
Vectors have magnitude and direction, unlike scalars, and are combined by head-to-tail or parallelogram methods. Work covers rectangular components, equilibrium when the resultant force is zero, the scalar product for work and projections, and the vector product for torque and cross-product direction using the right-hand rule.
Practise Vectors and Equilibrium
431 free Vectors and Equilibrium MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Physics questions like this
Physics is on 13 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
Related questions
A.B = B.A =_.
A body will be in translational equilibrium if the vector sum of all the forces acting on it is:
A constant force F= 2i + 3j +4k is applied on a body. What will be the work done to move the body 5m in the z-direction?
A force F of magnitude 20N is acting on an object making an angle of 30° with the X-axis. Its Fy component is
A force of 10N is acting along y-axis. Its component along x-axis is