## How do you do cross product in MatLab?

C = cross( A,B ) returns the cross product of A and B .

- If A and B are vectors, then they must have a length of 3.
- If A and B are matrices or multidimensional arrays, then they must have the same size. In this case, the cross function treats A and B as collections of three-element vectors.

### Why is the cross product the area of a parallelogram?

a×b is a vector that is perpendicular to both a and b. The magnitude (or length) of the vector a×b, written as ∥a×b∥, is the area of the parallelogram spanned by a and b (i.e. the parallelogram whose adjacent sides are the vectors a and b, as shown in below figure).

#### What is the area of parallelogram in vectors?

The formula to calculate the area of a parallelogram is given as Area of parallelogram = base × height square units.

**What is the area of parallelogram in vector form?**

Also, the area of parallelogram formula using diagonals in vector form is, area = 1/2 |(→d1 d 1 → × →d2 d 2 → )|, where →d1 d 1 → and →d2 d 2 → are diagonal vectors.

**What is the value of II JJ KK?**

The angle between two unit vectors is 0. similarly j.j and k.k equals 1. hence, i.i=j.j=k.k=1.

## What is the formula for an area of a parallelogram?

Definition of the area of a parallelogram

### How to derive the formula for area of parallelogram?

Find the area of a parallelogram whose base is 8 cm and height is 4 cm.

#### Can a parallelogram have the same area as a rectangle?

The area of a parallelogram is the space enclosed by 2 pairs of parallel lines. A rectangle and a parallelogram have similar properties, and therefore, the area of a parallelogram is equal to the area of a rectangle. How does the area of a triangle relate to the area of a parallelogram?

**How do you calculate the area of parallelogram from vectors?**

– The base is the length of the long, flat side on the bottom. – The height is the distance from the base straight up to its parallel side. – Which side is the base and which is height is entirely up to you — you could rotate any parallelogram to make any side the bottom and still get the