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Q1): Find the value of a such that: 1. The vector V₁ = 3i + 2j + ak and V₂ = 2ai + 3j + ak are orthogonal. 2. The projection of V₁ = 3i+2j + ak on V3 = 2i -j + 2k is 3 units lngth. 3. The vector V = i +4j+ak is normal to the plane x + 12y +9z = 12. 031 throug 51 normal to عماری

Q1): Find the value of a such that: 1. The vector V₁ = 3i + 2j + ak and V₂ = 2ai + 3j + ak are orthogonal. 2. The projection of V₁ = 3i+2j + ak on V3 = 2i -j + 2k is 3 units lngth. 3. The vector V = i +4j+ak is normal to the plane x + 12y +9z = 12. 031 throug 51 normal to عماری

Elementary Geometry For College Students, 7e
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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Q1): Find the value of a such that: 1. The vector V₁ = 3i+2j + ak and V₂ = 2ai +3j + ak are orthogonal. - 2. The projection of V₁ = 3i+2j + ak on V3 = 2i -j + 2k is 3 units Ingth. 3. The vector V = i +4j+ak is normal to the plane x +12y +9z = 12. 031 D through (2 15) normal to کووری
Transcribed Image Text:Q1): Find the value of a such that: 1. The vector V₁ = 3i+2j + ak and V₂ = 2ai +3j + ak are orthogonal. - 2. The projection of V₁ = 3i+2j + ak on V3 = 2i -j + 2k is 3 units Ingth. 3. The vector V = i +4j+ak is normal to the plane x +12y +9z = 12. 031 D through (2 15) normal to کووری
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