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Solved: Evaluate the dot product if
Chapter 11, Problem 2E(choose chapter or problem)
Evaluate the dot product \(\vec{A} \cdot \vec{B}\) if
a. \(\vec{A}=4 \hat{\imath}-2 \hat{\jmath}\) and \(\vec{B}=-2 \hat{\imath}-3 \hat{\jmath}\)
b. \(\vec{A}=-4 \hat{\imath}+2 \hat{\jmath}\) and \(\vec{B}=2 \hat{\imath}+4 \hat{\jmath}\)
Equation Transcription:
Text Transcription:
vec A cdot vec B
vec A = 4 \hat i - 2 \hat j
vec B = -2 \hat i - 3 \hat j
vec A = -4 \hat i + 2 \hat j
vec B = 2 \hat i + 4 \hat j
Questions & Answers
QUESTION:
Evaluate the dot product \(\vec{A} \cdot \vec{B}\) if
a. \(\vec{A}=4 \hat{\imath}-2 \hat{\jmath}\) and \(\vec{B}=-2 \hat{\imath}-3 \hat{\jmath}\)
b. \(\vec{A}=-4 \hat{\imath}+2 \hat{\jmath}\) and \(\vec{B}=2 \hat{\imath}+4 \hat{\jmath}\)
Equation Transcription:
Text Transcription:
vec A cdot vec B
vec A = 4 \hat i - 2 \hat j
vec B = -2 \hat i - 3 \hat j
vec A = -4 \hat i + 2 \hat j
vec B = 2 \hat i + 4 \hat j
ANSWER:Step 1 of 2
a)
Here we have to find the dot product of the two vectors.
\(\vec{A}=4 \hat{i}-2 \hat{j}\)
\(\vec{B}=-2 \hat{i}-3 \hat{j}\)
We know that,
\(\vec{A} \cdot \vec{B}=A_{x} B_{x}+A_{y} B_{y}\)
\(=4 \times(-2)+(-2) \times(-3)\)
\(=-8+6=-2\)