Chapter 1: Vectors, Lines and Planes
Section 1.2: Vector Arithmetic
If A=3 i−4 j+2 k, and B=2 i+5 j−6 k, obtain the vectors 3 A+4 B and 5 A−7 B.
Perform componentwise arithmetic to obtain
33−4 2+425−6 = 9+8−12+206−24 = 178−18
53−42 − 725−6 = 15−14−20−3510+42 = 1−5552
Keyboard the vector A. (See Table 1.1.1.)
Context Panel: Assign to a Name≻A
3,−4,2→assign to a nameA
Keyboard the vector B. (See Table 1.1.1.)
Context Panel: Assign to a Name≻B
2,5,−6→assign to a nameB
Write the appropriate sum of vectors.
Context Panel: Evaluate and Display Inline
3 A+4 B = 178−18
5 A−7 B = 1−5552
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