Question

If U=-5i+2j and V=4i-j what is the Dot

product of U and V?

Answer 1

The dot product of two vectors is defined as the product of their corresponding components, multiplied and summed. In other words, for two vectors U and V, the dot product is given by:

U · V = (Ux * Vx) + (Uy * Vy)

where Ux and Uy are the x and y components of U, and Vx and Vy are the x and y components of V.

In this case, we have:

U = -5i + 2j

V = 4i - j

So, using the formula for the dot product, we get:

U · V = (-5 * 4) + (2 * -1)

= -20 - 2

= -22

Therefore, the dot product of U and V is -22.

Explanation:

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