Suppose that u and v are vectors in R' and c is a scalar. Decide whether each statement is always true or not always true. Be sure you can explain why your answers are correct! Always true 1. (cũ) - ở = ủ - (cũ) = c(u · T) Not always true v 2. (ū x 7) · ủ = ở · (ũ × ở) Always true 3. (cũ) x ở = ữ × (cỡ) = c(u × v) Not always true 4. (ū x ũ) • ũ = 0

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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"I Suppose that u and v are vectors in R' and c is a scalar. Decide whether each statement is always true or not always true. Be sure you can explain why
your answers are correct!
Always true
1. (cũ) - ở = ủ - (cỡ) = c(u . 7)
Not always true v
2. (i x ở) - ũ = ở· (ũ x ở)
Always true
3. (cũ) x ở = i x (cỡ) = c(u × 7)
Not always true v
4. (i x ũ) - ũ = 0
Transcribed Image Text:"I Suppose that u and v are vectors in R' and c is a scalar. Decide whether each statement is always true or not always true. Be sure you can explain why your answers are correct! Always true 1. (cũ) - ở = ủ - (cỡ) = c(u . 7) Not always true v 2. (i x ở) - ũ = ở· (ũ x ở) Always true 3. (cũ) x ở = i x (cỡ) = c(u × 7) Not always true v 4. (i x ũ) - ũ = 0
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