Q. These are the component forms of vectors p and q :p=(−1,−4)q=(−2,2)Subtract the vectors.p−q=(□,□)
Identify vector components: Identify the components of vectors p and q. Vectorp has components (−1,−4) and vector q has components (−2,2).
Subtract vector components: Subtract the components of vector q from the components of vector p. To subtract two vectors, subtract their corresponding components. So we calculate: p−q=(−1−(−2),−4−2)
Perform component subtraction: Perform the subtraction for each component.For the x-component: −1−(−2)=−1+2=1For the y-component: −4−2=−6
Write result as component form: Write the result as the component form of the new vector. p−q=(1,−6)