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Find the specified scalar: ( (4u)(v) ).

a) 10i - 5j
b) 12i + 5j
c) 14i - 5j
d) 8i + 5j

User Macarena
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1 Answer

2 votes

Final answer:

Without the explicit values of the vectors u and v, it is not possible to calculate and find the specified scalar result from the given options. The question seems to be incomplete.

Step-by-step explanation:

The question seems to be involving vector multiplication, particularly the scalar multiplication of two vectors u and v, and then further multiplying this result by a scalar 4. However, the question does not provide explicit vectors u and v, nor does it give a clear context on what operation or solution needs to be obtained from the options provided (a to d). It seems there is critical information missing to provide an accurate answer. To compute the scalar product of two vectors and then multiply by another scalar, you would typically take the dot product of the two vectors (if they are given) and multiply that result by the scalar. Without the vector values for u and v, an accurate answer cannot be provided.

If the vectors were known, you would solve it through the following process:

  1. Find the dot product of vectors u and v, which is calculated by multiplying corresponding components of the vectors and then taking the sum of these products.
  2. Multiply the result of the dot product by the scalar 4.
  3. Select the correct vector from the given options that matches the result.
User Matteo Galli
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