i need the answer quickly Q.2 Find the vector whose magnitude is 5 and which is in the directionof the vector 4i – 3j + k.Q.3 For what value of m, the vector 4i + 2j – 3k and mi – j+ V3 khave same magnitude?Given the points A = (1, 2, – 1), B = (-3, 1, 2) and C = (0, -4, 3)(i) find AB, BC, ACQ.4(ii) Show that AB + BC = AC%3DFind the lengths of the sides of a triangle, whose vertices areA = (2, 4, -1), B = (4, 5, 1), C = (3, 6, -3) and show that thetriangle is right angled.Q.5Vectors and ScalarsQ.6If vectors 3i + j-k and 2i- 4j + 4k are parallel, find the valueof å.27-k are parallel.2Q.7Show that the vectors 4i – 6j + 9k and -6i + 9j- -Q.8Find real numbers x, y and z such that7xi + (y – 3)j + 6k = 10i + 8j – 3zk(x + 4)i + (y – 5)j + (z – 1)k = 0(b)

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Math

Trigonometry

Find the vector whose magnitude is 5 and which is in the direction of the vector 4i- 3j + k. Q.2

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 31E

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Question

i need the answer quickly

Q.2 Find the vector whose magnitude is 5 and which is in the direction
of the vector 4i – 3j + k.
Q.3 For what value of m, the vector 4i + 2j – 3k and mi – j+ V3 k
have same magnitude?
Given the points A = (1, 2, – 1), B = (-3, 1, 2) and C = (0, -4, 3)
(i) find AB, BC, AC
Q.4
(ii) Show that AB + BC = AC
%3D
Find the lengths of the sides of a triangle, whose vertices are
A = (2, 4, -1), B = (4, 5, 1), C = (3, 6, -3) and show that the
triangle is right angled.
Q.5
Vectors and Scalars
Q.6
If vectors 3i + j-k and 2i- 4j + 4k are parallel, find the value
of å.
27
-k are parallel.
2
Q.7
Show that the vectors 4i – 6j + 9k and -6i + 9j
- -
Q.8
Find real numbers x, y and z such that
7xi + (y – 3)j + 6k = 10i + 8j – 3zk
(x + 4)i + (y – 5)j + (z – 1)k = 0
(b)

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