Because in dot product we take projection fashion and that is why we used cos and similar in cross product we used sin
cross product
The answer is cross products.
You need to know the area of that cross-section. Once you have that number, the volume of the box is the product of (cross-section area) x (height).
To find the cross product of two vectors:If a = [a1, a2, a3] and b = [b1, b2, b3], thena x b = [a2b3 - a3b2, a3b1 - a1b3, a1b2 - a2b1] or(a2b3 - a3b2)i + (a3b1 - a1b3)j + (a1b2 - a2b1)k
Dot product and cross product are used in many cases in physics. Here are some examples:Work is sometimes defined as force times distance. However, if the force is not applied in the direction of the movement, the dot product should be used. Note that here - as well as in other cases where the dot product is used - the product is greatest when the angle is zero; also, the result is a scalar, not a vector.The cross product is used to define torque (distance from the axis of rotation, times force). In this case, the product is greatest when the two vectors are at right angles. Also - as in any cross product - the result is also a vector.Several interactions between electricity and magnetism are defined as cross products.
0 is a cross product of a vector itself
cross: torque dot: work
The cross product can be said to be a measure of the 'perpendicularity' of the vectors in the product. Please see the link.
Normally you use sine theta with the cross product and cos theta with the vector product, so that the cross product of parallel vectors is zero while the dot product of vectors at right angles is zero.
because that is the def. of a cross-product!
Cross product is a mathematics term when there is a binary operation on two vectors in three-dimensional space.
The cross product is created.
Why do all muscle cross a joint? Define the attachment points of muscle to bone?
A dot product is a scalar product so it is a single number with only one component. A cross product or vector product is a vector which has three components like the original vectors.
cross product.
Because in dot product we take projection fashion and that is why we used cos and similar in cross product we used sin