Vectors u and v are given by: u=5i-4j+pk v=2i+tj-3k (a) Express p in terms of t when u and v are perpendicular. [3] (b) Find the values of p and I when u and v are parallel. [4] (c) Calculate the angle between u and v when p=4 and 1=-1 correct to the nearest degree. [5]

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.4: Vectors In Three Dimensions
Problem 2E
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2. Vectors u and v are given by:
u=5i-4j+pk
v=21+tj-3k
(a) Express p in terms of
when u and v are perpendicular.
when u and v are parallel.
[3]
(b) Find the values of p and
[4]
(c) Calculate the angle between u and v when p=4 and 1=-1 correct to the nearest
degree.
[5]
Transcribed Image Text:2. Vectors u and v are given by: u=5i-4j+pk v=21+tj-3k (a) Express p in terms of when u and v are perpendicular. when u and v are parallel. [3] (b) Find the values of p and [4] (c) Calculate the angle between u and v when p=4 and 1=-1 correct to the nearest degree. [5]
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