/ector questions: 1) The angle between two vectors overrightarrow (A) and bar (B) , that are starting from the same point is 60^circ If bar (A)=7i-j+5k and vert Bvert =7 Then the scalar product of these two vectors is: 150.3 b) 36.7 c) 63.6 d) 262 e) 52.5

Question

Answer 1

To find the scalar product of two vectors, we can use the formula:

where

is the angle between the two vectors.Given that the angle between

and

is

, we can substitute the values into the formula:

We are given that

and

. To find the magnitude of

, we can use the formula:

where

,

, and

are the components of

.Substituting the values, we have:

Now, we can substitute the values into the scalar product formula:

Since

, we have:

Therefore, the scalar product of the two vectors is

, which is approximately 52.5.So, the correct answer is e) 52.5.

Soru