If a = 3i-j-4k, b - 2i + 4j-3k and c i+2j-k. Find unit vector parallel to 3 a -2 b +4 c. Q.1

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Homework 1.pdf
Q.1
If a = 3i-j-4k, b= -2i + 4j- 3k and c =i+ 2j -k.
Find unit vector parallel to 3 a - 2 b +4 c
Find the vector whose magnitude is 5 and which is in the direction
of the vector 4i – 3j + k.
Q.2
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)
Q.3
Q.4
(i) find AB, BC, AC
Q.5
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
(ii) Show that AB+ BC = AC
triangle is right angled.
Q.6
If vectors 3i + j-k and 2i - 4j + 4k are parallel, find the value
of A.
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
(a)
(b)
II
个
Transcribed Image Text:. Ih. 9:0Y Homework 1.pdf Q.1 If a = 3i-j-4k, b= -2i + 4j- 3k and c =i+ 2j -k. Find unit vector parallel to 3 a - 2 b +4 c Find the vector whose magnitude is 5 and which is in the direction of the vector 4i – 3j + k. Q.2 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) Q.3 Q.4 (i) find AB, BC, AC Q.5 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 (ii) Show that AB+ BC = AC triangle is right angled. Q.6 If vectors 3i + j-k and 2i - 4j + 4k are parallel, find the value of A. 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 (a) (b) II 个
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