Find the dot product of the pair of vectors;
s=4i +j
t=-i -j
dot product?
s.t=4*-1 + 1*-1=-5
Thanks
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.