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Find u*v, if u=13j and v=i+3j

Find u*v, if u=13j and v=i+3j-example-1

1 Answer

6 votes

Answer:

u * v = 39 ⇒ 2nd answer

Explanation:

* Lets explain how to solve the problem

- u and v are two vectors

- u * v means the scalar product of the two vectors

- The scalar product is a way of multiplying vectors

- The result of a scalar product is always a number not a vector

- Ex: If u = ai + bj ⇒ <a , b> and v = ci + dj ⇒ <c , d> then the scalar

product of them is ac + bd where ac + bd is a number

* Lets solve the problem

∵ Vector u = 13j ⇒ <0 , 13>

∵ Vector v = i + 3j ⇒ <1 , 3>

- Lets find the scalar product

∴ u * v = (0)(1) + (13)(3)

∴ u * v = 0 + 39

u * v = 39

User Piseth Sok
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