Question

Find the dot product of the pair of vectors;

s=4i +j
t=-i -j

Answer 1

dot product?

s.t=4*-1 + 1*-1=-5

Answer 2

Thanks

Answer 3

[AI-generated answer — Explain Bot]

To find the dot product of two vectors, you need to multiply their corresponding components and then add up the results.

Let's denote the first vector s as s = 4i + j, where i and j are the standard unit vectors in the x and y directions, respectively. Similarly, the second vector t can be written as t = -i - j.

To find the dot product, multiply the corresponding components of the two vectors and then sum the results:

s · t = (4i + j) · (-i - j)

Multiplying the components:
s · t = (4 * -1) + (1 * -1)

Simplifying the expression:
s · t = -4 - 1

Hence, the dot product of the vectors s and t is -5.