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The component form of vector 
vec(v) is 
vec(v)=(4,3).
Find 
4 vec(v).

4 vec(v)=(◻,◻)

The component form of vector v \vec{v} is v=(4,3) \vec{v}=(4,3) .\newlineFind 4v 4 \vec{v} .\newline4v=(,) 4 \vec{v}=(\square, \square)

Full solution

Q. The component form of vector v \vec{v} is v=(4,3) \vec{v}=(4,3) .\newlineFind 4v 4 \vec{v} .\newline4v=(,) 4 \vec{v}=(\square, \square)
  1. Multiply Vector by Scalar: To find the result of multiplying a vector by a scalar, we multiply each component of the vector by the scalar.\newlineCalculation: 4×v=4×(4,3)=(4×4,4×3)4 \times \vec{v} = 4 \times (4, 3) = (4\times4, 4\times3)
  2. Perform Component Multiplication: Now we perform the multiplication for each component.\newlineCalculation: 44,434*4, 4*3 = 16,1216, 12

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