For landscape photography, a camera with a high resolution sensor and wide dynamic range is ideal to capture the details and colors of the scenery. A full-frame DSLR or mirrorless camera with a wide-angle lens would be a good choice for capturing the vastness of landscapes. For street photography, a compact and discreet camera with fast autofocus and good low-light performance is preferred. A mirrorless camera with a prime lens or a high-quality compact camera would be suitable for capturing candid moments and street scenes without drawing too much attention.

The rotation speeds refer to the speed at which an object or system rotates around its axis. Different objects or systems can have different rotation speeds depending on factors such as their size, mass, and the forces acting upon them. For example, the rotation speed of a planet like Earth is much slower compared to the rotation speed of a spinning top. Rotation speeds are often measured in units such as revolutions per minute (RPM) or radians per second.

A macro lens is typically the best choice for product photography. Macro lenses are designed to capture small subjects with great detail and clarity, making them ideal for capturing the intricate details of products. They also have a close focusing distance, allowing you to get up close to the product for detailed shots. Additionally, a lens with a focal length between 50mm and 100mm is recommended for product photography as it provides a natural perspective and minimizes distortion.

A prime lens with a focal length between 35mm and 50mm is typically considered suitable for street photography. These lenses offer a natural field of view that closely resembles what the human eye sees, making them great for capturing candid moments in urban environments. Additionally, prime lenses are often compact and lightweight, which is ideal for street photographers who need to move quickly and discreetly. Overall, a 35mm or 50mm prime lens is a popular choice among street photographers for its versatility and ability to capture authentic moments.

To determine the rotation angle when the rotation matrix and rotation axis are given, one can use the formula that relates the rotation matrix to the rotation axis and angle. By decomposing the rotation matrix into its components, one can extract the rotation axis and the rotation angle. The rotation angle can be calculated using trigonometric functions such as arccosine or arctangent. This process allows for the determination of the rotation angle based on the given rotation matrix and rotation axis.

To determine the rotation angle when the rotation matrix and rotation axis are given, you can use the formula for the axis-angle representation of a rotation. The rotation matrix can be used to find the eigenvectors and eigenvalues, which in turn can be used to determine the rotation axis. Once the rotation axis is known, the rotation angle can be calculated using the trace of the rotation matrix and the dot product between the original and rotated vectors. This will give you the angle of rotation around the specified axis.

To disable camera rotation on WhatsApp, you can go to the app's settings, then select "Chats," and toggle off the "Auto-rotate" option. This will prevent the camera from rotating during video calls. For FaceTime, you can disable camera rotation by going to your device's settings, selecting "FaceTime," and turning off the "Automatic Prominence" option. This will keep your camera orientation fixed during FaceTime calls.

The angle of rotation can be determined by measuring the amount of rotation in degrees. This can be done by comparing the initial and final positions of a point or object after the rotation. The angle of rotation is the amount of change in the orientation of the object, measured in degrees. It can also be determined using trigonometric functions and the coordinates of the points before and after the rotation.