Question

What is the value of scalar multiplication with zero vectort?

Answer 1

➡HOPE THIS HELPS YOU⬇

Zero vector = 0î + 0j + 0k

Any vector = xî + yj + zk

Here, î, j and k are unit vectors along the axes.

Now,

(0î + 0j + 0k).(xî + yj + zk)

= 0 + 0 + 0

= 0

♧REMEMBER♧

Scalar multiplication of two vectors always results a scalar number.

Let, two vectors are :

ā = (1, 5, 7) and ē = (-3, 0, 8)

So, ā.ē = -3 + 0 + 56 = 53

⬆HOPE THIS HELPS YOU⬅