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Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6). Q2. Find the angle between the vectors <2, -1. 3> and <2, 1, -3>. Q3. Find the cross product of the vectors <1, -7.7> and <3, -2, 2>.

Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6). Q2. Find the angle between the vectors <2, -1. 3> and <2, 1, -3>. Q3. Find the cross product of the vectors <1, -7.7> and <3, -2, 2>.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Q7. Check whether the points (0, 7, 10), (-1, 6, 6) and (-4, 9, 6) are the vertices of a right angled triangle. Q8. Find all the first and second order partial derivatives of the function f(x, y) = x sin y + y sin x + xy
Transcribed Image Text:Q7. Check whether the points (0, 7, 10), (-1, 6, 6) and (-4, 9, 6) are the vertices of a right angled triangle. Q8. Find all the first and second order partial derivatives of the function f(x, y) = x sin y + y sin x + xy
(Write the answer in your own handwriting, scan and then upload the pdf file) Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6). Q2. Find the angle between the vectors <-2, -1, 3> and <2, 1, -3>. Q3. Find the cross product of the vectors <1, -7.7> and <3, -2, 2>. Q4. Find dz/dt where z-2xy-x²y³ and x-21, y = 1². Q5. Check whether the given points A (1, 2, 3), B (3, -1, 4) and C (-2, 3, -4) are collinear. Q6. Find the volume of parallelopiped formed by the vectors <2, 4, 5>, <-1 0-3> and <3, -5, -3>.
Transcribed Image Text:(Write the answer in your own handwriting, scan and then upload the pdf file) Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6). Q2. Find the angle between the vectors <-2, -1, 3> and <2, 1, -3>. Q3. Find the cross product of the vectors <1, -7.7> and <3, -2, 2>. Q4. Find dz/dt where z-2xy-x²y³ and x-21, y = 1². Q5. Check whether the given points A (1, 2, 3), B (3, -1, 4) and C (-2, 3, -4) are collinear. Q6. Find the volume of parallelopiped formed by the vectors <2, 4, 5>, <-1 0-3> and <3, -5, -3>.
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