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There are two forms of vector multiplication for the types of vectors you'll see: the dot product and the cross product. The dot product always gives a scalar, not a vector, so that won't help.

Sal explains what happens graphically and to the components of a vector when we multiply it by a scalar.

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Watch Sal change the magnitude of a vector by multiplying it by a scalar. Sal Khan کے ذریعہ تخلیق کیا گیا۔

I know the vector solution of a cross-product is orthogonal to the 2 vectors, but how does that strange, counter-intuitive way of multiplying points across from one another lead to an orthogonal vector?

Vectors are used to represent many things around us: from forces like gravity, acceleration, friction, stress and strain on structures, to computer graphics used in almost all modern-day movies and …

To add the vectors (x₁,y₁) and (x₂,y₂), we add the corresponding components from each vector: (x₁+x₂,y₁+y₂). Here's a concrete example: the sum of (2,4) and (1,5) is (2+1,4+5), which is (3,9). …

Cambiamos la magnitud de un vector al multiplicarlo por un escalar.

While you can't technically multiply vectors of different dimensions, what you could do is set the third variable to 0. For example, if you wanted to multiple A (1,2) with B (1,2,3) you could think of A as …