Question

v1=i+ 2j +3k , V2 =3i +4j-5k find scalar product of two vectors​

Answer 1

Answer:

scalar product of given two vectors is -4.

Answer 2

Given:

v1 = i + 2j + 3k

v2 = 3i + 4j - 5k

To find: Scalar product of two vectors

Calculation:

• Dot product is the scalar product of two vectors.
• It is the product of magnitude of both vectors and the cosine value of angle between the two vectors.

v1 · v2 = |v1| |v2| cos α, where α is the angle between them.

(i + 2j + 3k) · (3i + 4j - 5k) = (i)(3i) + (2j)(4j) + (3k)(-5k)

v1 · v2 = 3 + 8 - 15 = -4

Answer:

Scalar product of both vectors is -4.