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Q1. Chose the correct answer and prove your choice: 1. The acute angle between the lines : (x + √√3 y = 1) and ((1 − √√3) x + (1 + √3)y = 8) is equal to: (a) 45° (b) 90° (c) 30° (d) 0° 2. The distance between the point (2,-3,4) and the plane (x + 2y + 2z = 13) is equal to: (a)√1.5 (b) √6 (c) 3 (d) 6 3. The direction derivative of the function (w = f(x,y) = cos(xy) + xe³) at the point Po (2,0) in the direction of the vector A = 3i-4j is equal to (a) 3 (b)-1- (c)-1 (d) i+2j 1. The area of the triangle determined by the vectors (2i-2;) and (i+2k) is equal to: (a) 2 ساحة (b) 3 (c) √√8 (d) 6 2. The magnitude of the projection of the vector (2i-j+k) on the vector (i+j+2k) is equal to: (a): √√1.50 ་ཧ (b) √6 (c) √√2 (d) 6 3. The direction derivative of the function (w= f(x, y, z) = cos(xy)+e³² + In(2x) )at the poir (1,0,0.5) in the direction of the vector A = i +2j+2k is equal to (a) 3 (b) 2/3 (c) 4 (d) i+2i+74

Q1. Chose the correct answer and prove your choice: 1. The acute angle between the lines : (x + √√3 y = 1) and ((1 − √√3) x + (1 + √3)y = 8) is equal to: (a) 45° (b) 90° (c) 30° (d) 0° 2. The distance between the point (2,-3,4) and the plane (x + 2y + 2z = 13) is equal to: (a)√1.5 (b) √6 (c) 3 (d) 6 3. The direction derivative of the function (w = f(x,y) = cos(xy) + xe³) at the point Po (2,0) in the direction of the vector A = 3i-4j is equal to (a) 3 (b)-1- (c)-1 (d) i+2j 1. The area of the triangle determined by the vectors (2i-2;) and (i+2k) is equal to: (a) 2 ساحة (b) 3 (c) √√8 (d) 6 2. The magnitude of the projection of the vector (2i-j+k) on the vector (i+j+2k) is equal to: (a): √√1.50 ་ཧ (b) √6 (c) √√2 (d) 6 3. The direction derivative of the function (w= f(x, y, z) = cos(xy)+e³² + In(2x) )at the poir (1,0,0.5) in the direction of the vector A = i +2j+2k is equal to (a) 3 (b) 2/3 (c) 4 (d) i+2i+74

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Q1. Chose the correct answer and prove your choice: 1. The acute angle between the lines : (x + √√3 y = 1) and ((1 − √√3) x + (1 + √3)y = 8) is equal to: (a) 45° (b) 90° (c) 30° (d) 0° 2. The distance between the point (2,-3,4) and the plane (x + 2y + 2z = 13) is equal to: (a)√1.5 (b) √6 (c) 3 (d) 6 3. The direction derivative of the function (w = f(x,y) = cos(xy) + xe³) at the point Po (2,0) in the direction of the vector A = 3i-4j is equal to (a) 3 (b)-1- (c)-1 (d) i+2j 1. The area of the triangle determined by the vectors (2i-2;) and (i+2k) is equal to: (a) 2 ساحة (b) 3 (c) √√8 (d) 6 2. The magnitude of the projection of the vector (2i-j+k) on the vector (i+j+2k) is equal to: (a): √√1.50 ་ཧ (b) √6 (c) √√2 (d) 6 3. The direction derivative of the function (w= f(x, y, z) = cos(xy)+e³² + In(2x) )at the poir (1,0,0.5) in the direction of the vector A = i +2j+2k is equal to (a) 3 (b) 2/3 (c) 4 (d) i+2i+74
Transcribed Image Text:Q1. Chose the correct answer and prove your choice: 1. The acute angle between the lines : (x + √√3 y = 1) and ((1 − √√3) x + (1 + √3)y = 8) is equal to: (a) 45° (b) 90° (c) 30° (d) 0° 2. The distance between the point (2,-3,4) and the plane (x + 2y + 2z = 13) is equal to: (a)√1.5 (b) √6 (c) 3 (d) 6 3. The direction derivative of the function (w = f(x,y) = cos(xy) + xe³) at the point Po (2,0) in the direction of the vector A = 3i-4j is equal to (a) 3 (b)-1- (c)-1 (d) i+2j 1. The area of the triangle determined by the vectors (2i-2;) and (i+2k) is equal to: (a) 2 ساحة (b) 3 (c) √√8 (d) 6 2. The magnitude of the projection of the vector (2i-j+k) on the vector (i+j+2k) is equal to: (a): √√1.50 ་ཧ (b) √6 (c) √√2 (d) 6 3. The direction derivative of the function (w= f(x, y, z) = cos(xy)+e³² + In(2x) )at the poir (1,0,0.5) in the direction of the vector A = i +2j+2k is equal to (a) 3 (b) 2/3 (c) 4 (d) i+2i+74
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