Parts 81-84 Please Problem V Let V be a subspace of R4 spanned by three vectors given below. Find theangle a between the vector y = (0, 0, 12, 0) and the subspace V. (By definition, a is the anglebetween y and its orthogonal projection onto V unless y is orthogonal to V, in which caseα= 90⁰.81. (1,1, 1, 1), (0, 3, 2, 3),82. (1,1,1,1), (1,0,3,0),83. (1,1,0,0), (2,0,1,1),84. (1,0, 1, 1), (1, 1,2,0),85. (1,0, 1,0),(1, 1, 1,−1),(1, 2, 3, 0).86. (1,0,0,1), (0, 1, 1, −2),(1, —1, 3, 3).87. (1,1,−1, 1), (2,3,0,3),(1, 1, 3, 5).88. (1,0,0,−1), (2,1,1,0), (1, 0, 2, 5).89. (1,0,1,0), (1,−1,1,−1), (1, 0, 3, —2).90. (1,1,1,−1), (1,3,0,0), (1,5, 0, 2).(−3, 5, 1, 1).(1,0, 5, —2).(1, −5, 2, 0).(0, 1, 4, 2).91. (1,1,1,1), (2,3,0,3), (1,1, −3, 5).(1, 1, 1, 1), (1,3, 0, 0),92.(1,5, 0, -2).(1,0,0,1), (2, 1, 1,0),(1,0, 2, –5).(1, 1, 1,0), (1, 0, 2, 1),(0, 2, 4, 1).95.(1,0,1,0), (1,−1, 1, 1),96.(1,0,1,0), (0, 1, −2, 1),(1,−1, 3, 3).97.(1,1,1,−1), (2,3,3,0), (1,1,5, 3).98. (1,0,−1,0), (2,1,0,1), (1,0, 5, 2).99. (1,0,0,1), (1,−1,−1, 1), (1, 0, −2, 3).100. (1,1,-1, 1), (1,3,0,0), (1, 5, -2,0).93.94.(1,0,3,2).

Answered: Image /qna-images/answer/486e646d-2f48-432c-97fa-51f2e219a715.jpg

Problem V Let V be a subspace of R4 spanned by three vectors given below. Find the angle a between the vector y (0, 0, 12, 0) and the subspace V. (By definition, a is the angle between y and its orthogonal projection onto V unless y is orthogonal to V, in which case a = 90°. - (−3, 5, 1, 1). (1,0, 5, —2). 81. (1,1, 1, 1), 82. (1,1, 1, 1), (0, 3, 2, 3), (1,0,3,0), 83. (1,1,0,0), (2,0, 1, 1), (1,1,2,0), 84. (1,0, 1, 1), 85. (1,0, 1,0), (1, 1, 1, −1), (1, 2, 3, 0). 86. (1,0,0,1), (0, 1, 1, −2), 87. (1,1,-1, 1), (2,3,0,3), (1,−1, 3, 3). (1, 1, 3, 5). 88. (1,0,0,−1), (2, 1, 1,0), 89. (1,0, 1,0), (1, −1, 1, −1), 90. (1,1,1,−1), (1,3,0,0), (1,5, 0, 2). (1, 0, 2, 5). (1,0, 3, -2). (1, −5, 2, 0). (0, 1, 4, 2). (1,0, 3, 2). 91. (1,1, 1, 1), (2,3,0,3), (1, 1, −3, 5). 92. (1,1, 1, 1), (1,3,0,0), (1,5, 0, -2). 93. (1,0,0,1), (2,1,1,0), (1,0, 2, –5). 94. (1,1,1,0), (1,0, 2, 1), (0, 2, 4, 1). 95. (1,0,1,0), (1,−1, 1, 1), 96. (1,0,1,0), (0, 1, −2, 1), 97. (1,1,1,−1), (2,3,3,0), (1,1,5, 3). 98. (1,0,−1,0), (2,1,0,1), (1,0,5, 2). 99. (1,0,0,1), (1,−1,−1, 1), (1, 0, −2, 3). 100. (1,1,1,1), (1,3,0,0), (1,5,—2, 0). (1, —1, 3, 3).

Problem V Let V be a subspace of R4 spanned by three vectors given below. Find the angle a between the vector y (0, 0, 12, 0) and the subspace V. (By definition, a is the angle between y and its orthogonal projection onto V unless y is orthogonal to V, in which case a = 90°. - (−3, 5, 1, 1). (1,0, 5, —2). 81. (1,1, 1, 1), 82. (1,1, 1, 1), (0, 3, 2, 3), (1,0,3,0), 83. (1,1,0,0), (2,0, 1, 1), (1,1,2,0), 84. (1,0, 1, 1), 85. (1,0, 1,0), (1, 1, 1, −1), (1, 2, 3, 0). 86. (1,0,0,1), (0, 1, 1, −2), 87. (1,1,-1, 1), (2,3,0,3), (1,−1, 3, 3). (1, 1, 3, 5). 88. (1,0,0,−1), (2, 1, 1,0), 89. (1,0, 1,0), (1, −1, 1, −1), 90. (1,1,1,−1), (1,3,0,0), (1,5, 0, 2). (1, 0, 2, 5). (1,0, 3, -2). (1, −5, 2, 0). (0, 1, 4, 2). (1,0, 3, 2). 91. (1,1, 1, 1), (2,3,0,3), (1, 1, −3, 5). 92. (1,1, 1, 1), (1,3,0,0), (1,5, 0, -2). 93. (1,0,0,1), (2,1,1,0), (1,0, 2, –5). 94. (1,1,1,0), (1,0, 2, 1), (0, 2, 4, 1). 95. (1,0,1,0), (1,−1, 1, 1), 96. (1,0,1,0), (0, 1, −2, 1), 97. (1,1,1,−1), (2,3,3,0), (1,1,5, 3). 98. (1,0,−1,0), (2,1,0,1), (1,0,5, 2). 99. (1,0,0,1), (1,−1,−1, 1), (1, 0, −2, 3). 100. (1,1,1,1), (1,3,0,0), (1,5,—2, 0). (1, —1, 3, 3).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 14E

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