Answer:
A. {u1,u2,u3,u4} is a linearly independent set of vectors unless one of {u1,u2,u3} is the zero vector.
Step-by-step explanation:
Given that u4 is not a linear combination of {u1,u2,u3}
This means there is no possibility to write u4 = au1+bu2+cu3 for three scalars a,b,and c.
This gives that 
This implies that these four vectors are not linearly dependent but linearly independent.
Hence option a is right.
A. {u1,u2,u3,u4} is a linearly independent set of vectors unless one of {u1,u2,u3} is the zero vector.
Answer:
∠5 = 95°
Step-by-step explanation:
Where the transversal crosses parallel lines at some angle not a right angle, all of the acute angles are congruent, and all of the obtuse angles are congruent. The acute angles are (obviously) not congruent with the acute angles. Any acute angle is supplementary to any obtuse angle.
Since angles 5 and 6 are a linear pair, the angle relationships of the parallel lines are irrelevant. A linear pair of angles is supplementary.
∠6 = 85° . . . . is given
∠5 is shown as obtuse, so its measure is ...
∠5 = 180° -85° = 95°
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<em>Additional comment</em>
85° angles: 2, 3, 6, 7
95° angles: 1, 4, 5, 8
Any angle from the 85° angle list is <em>not congruent</em> with any angle from the 95° angle list. For example, angles 2 and 5 are not congruent.
Mooooooon 83 zd.............
ANSWER:
Pentagonal prism.
EXPLANATION:
We see that all the sections in the net are rectangles. Also there are 5 of them and a prism has 5 faces.
