How do you type a subscript?

How do you type a subscript?

Alternatively, you can find other keyboard apps on the Play Store that allows typing subscript.

1. Open the text where you want to type subscript.
2. Switch your keyboard to the Engineering Keyboard.
3. Tap the nnn super/subscript icon on the bottom-left.
4. Tap the subscript character you want to type.

How do you type PI in WeBWorK?

Mathematical Constants Available In WeBWorK Do NOT write Pi or PI. e: This gives 2. e.g. ln(e*2) is 1 + ln(2).

How do you type cubed root in WeBWorK?

How do I enter square roots or cube roots? For square roots, you can use sqrt() or the exponent (1/2). For example, the square root of two in WeBWorK is either sqrt(2) or 2^(1/2). For cube roots, use the exponent (1/3).

What does the dot product calculate?

The dot product tells you what amount of one vector goes in the direction of another. So the dot product in this case would give you the amount of force going in the direction of the displacement, or in the direction that the box moved.

What does cross product give you?

The cross product a × b is defined as a vector c that is perpendicular (orthogonal) to both a and b, with a direction given by the right-hand rule and a magnitude equal to the area of the parallelogram that the vectors span.

What is cross product used for?

The cross product is used to find a vector which is perpendicular to the plane spanned by two vectors.

Why is cross product a sin?

The distance is covered along one axis or in the direction of force and there is no need of perpendicular axis or sin theta. In cross product the angle between must be greater than 0 and less than 180 degree it is max at 90 degree. That’s why we use cos theta for dot product and sin theta for cross product.

Do you do dot product or cross product first?

1 Answer. The cross product would have to occur first. If not, then you can not use the operation because after you do the dot product, you would have a scalar and a vector, not two vectors.

What is the difference between a dot product and a cross product?

The major difference between dot product and cross product is that dot product is the product of magnitude of the vectors and the cos of the angle between them, whereas the cross product is the product of the magnitude of the vector and the sine of the angle in which they subtend each other.

What will happen if all components of a vector are reversed in direction?

Originally Answered: What will happen if all the components of a vector are reversed in direction? Thus, reversing the direction of all components of a vector simply gives you the negative of the original vector (which, of course, is the same thing as reversing the vector).

Why is the cross product of two vectors orthogonal?

See what happens when you try to take (a×b)⋅a or (a×b)⋅b (you should get 0). If a vector is perpendicular to a basis of a plane, then it is perpendicular to that entire plane. So, the cross product of two (linearly independent) vectors, since it is orthogonal to each, is orthogonal to the plane which they span.

Is cross product a scalar?

One type, the dot product, is a scalar product; the result of the dot product of two vectors is a scalar. The other type, called the cross product, is a vector product since it yields another vector rather than a scalar.

Why is cross product not commutative?

The key issue is that the angle between two vectors is always measured in the same direction (by convention, counterclockwise). Since two vectors are perpendicular to any two non parallel vectors, and these vectors are in opposite directions, it makes sense to decide which one is to be the result of the cross product.

How do you solve a cross product vector?

We can calculate the Cross Product this way:

1. |a| is the magnitude (length) of vector a.
2. |b| is the magnitude (length) of vector b.
3. θ is the angle between a and b.
4. n is the unit vector at right angles to both a and b.

How do you cross multiply?

In cross-multiplication, we multiply the numerator of the first fraction with the denominator of the second fraction and the numerator of the second fraction with the denominator of the first fraction.

What happens when you cross product the same vector?

cross product. Since two identical vectors produce a degenerate parallelogram with no area, the cross product of any vector with itself is zero… A × A = 0. Applying this corollary to the unit vectors means that the cross product of any unit vector with itself is zero.

How do you find the normal vector?

Any nonzero vector can be divided by its length to form a unit vector. Thus for a plane (or a line), a normal vector can be divided by its length to get a unit normal vector. Example: For the equation, x + 2y + 2z = 9, the vector A = (1, 2, 2) is a normal vector. |A| = square root of (1+4+4) = 3.

What is unit normal vector?

Let’s say you have some surface, S. If a vector at some point on S is perpendicular to S at that point, it is called a normal vector (of S at that point). When a normal vector has magnitude 1, it is called a unit normal vector. …

What is the normal vector of a line?

In geometry, a normal is an object such as a line, ray, or vector that is perpendicular to a given object. For example, in two dimensions, the normal line to a curve at a given point is the line perpendicular to the tangent line to the curve at the point.

How do you calculate surface normal?

A surface normal for a triangle can be calculated by taking the vector cross product of two edges of that triangle. The order of the vertices used in the calculation will affect the direction of the normal (in or out of the face w.r.t. winding).