Math Problem Statement
Let vec a =2 hat i -2 hat j + hat k vec b = hat j - hat k and vec c =- hat i +3 hat j +2 hat k be given vectors. Find vec ( a + vec b )*( vec b - vec c )
Solution
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Math Problem Analysis
Mathematical Concepts
Vectors
Vector addition
Vector subtraction
Dot product
Formulas
Dot product formula: \( \vec{a} \cdot \vec{b} = a_x b_x + a_y b_y + a_z b_z \)
Theorems
-
Suitable Grade Level
Advanced High School
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