25 pl ht17. (3, 0, 1), (0, 8, 0)18. (1, 3, -2), (0, 0, 6)19-22 Find a + b, 4a + 2b, |a|, and a - bl.19. a = (-3,4), b = (9,-1)20. a = 5i + 3j, b = -i - 2j21. a = 4i - 3j + 2k, b = 2i - 4k22. a = (8, 1,-4), b = (5,-2, 1)23-25 Find a unit vector that has the same direction as the givenvector.23. (6,-2)25. 8i- j + 4k24. -5i + 3j - k26. Find the vector that has the same direction as (6, 2, -3) but haslength 4.27-28 What is the angle between the given vector and the positivedirection of the x-axis?27. i + √3 j28. 81 + 6j29. If v lies in the first quadrant and makes an angle 7/3 with thepositive x-axis and |v|= 4, find v in component form.30. If a child pulls a sled through the snow on a level path with aforce of 50 N exerted at an angle of 38° above the horizontal,find the horizontal and vertical components of the force.31. A quarterback throws a football with angle of elevation 40° andspeed 60 ft/s. Find the horizontal and vertical components ofvec

In this question we have to find a unit vector that has the same direction as the given vector We…

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23-25 Find a unit vector that has the same direction as the given vector. 23. (6,-2) 25. 8i- j + 4k 24. -5i + 3j - k

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

25 pl

ht
17. (3, 0, 1), (0, 8, 0)
18. (1, 3, -2), (0, 0, 6)
19-22 Find a + b, 4a + 2b, |a|, and a - bl.
19. a = (-3,4), b = (9,-1)
20. a = 5i + 3j, b = -i - 2j
21. a = 4i - 3j + 2k, b = 2i - 4k
22. a = (8, 1,-4), b = (5,-2, 1)
23-25 Find a unit vector that has the same direction as the given
vector.
23. (6,-2)
25. 8i- j + 4k
24. -5i + 3j - k
26. Find the vector that has the same direction as (6, 2, -3) but has
length 4.
27-28 What is the angle between the given vector and the positive
direction of the x-axis?
27. i + √3 j
28. 81 + 6j
29. If v lies in the first quadrant and makes an angle 7/3 with the
positive x-axis and |v|= 4, find v in component form.
30. If a child pulls a sled through the snow on a level path with a
force of 50 N exerted at an angle of 38° above the horizontal,
find the horizontal and vertical components of the force.
31. A quarterback throws a football with angle of elevation 40° and
speed 60 ft/s. Find the horizontal and vertical components of
vec

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