Problem 1AYP: The distance d from P 1 =( x 1 , y 1 ) to P 1 =( x 1 , y 1 ) is d= _______. (p. 4) Problem 2CV: In space, points of the form ( x,y,0 ) lie in a plane called the _______. Problem 3CV: If v=ai+bj+ck is a vector in space, the scalars a , b , c are called the _________ of v . Problem 4CV: The squares of the direction cosines of a vector in space add up to _____. Problem 5CV: True or False In space, the dot product of two vectors is a positive number. Problem 6CV Problem 7SB: In Problems 7-14, describe the set of points ( x,y,z ) defined by the equation(s). y=0 Problem 8SB: In Problems 7-14, describe the set of points ( x,y,z ) defined by the equation(s). x=0 Problem 9SB: In Problems 7-14, describe the set of points ( x,y,z ) defined by the equation(s). z=2 Problem 10SB: In Problems 7-14, describe the set of points ( x,y,z ) defined by the equation(s). y=3 Problem 11SB: In Problems 7-14, describe the set of points ( x,y,z ) defined by the equation(s). x=4 Problem 12SB: In Problems 7-14, describe the set of points ( x,y,z ) defined by the equation(s). z=3 Problem 13SB: In Problems 7-14, describe the set of points ( x,y,z ) defined by the equation(s). x=1 and y=2 Problem 14SB: In Problems 7-14, describe the set of points ( x,y,z ) defined by the equation(s). x=3 and z=1 Problem 15SB: In Problems 15-20, find the distance from P 1 to P 2 . P 1 =( 0,0,0 ) and P 2 =( 4,1,2 ) Problem 16SB: In Problems 15-20, find the distance from P 1 to P 2 . P 1 =( 0,0,0 ) and P 2 =( 1,2,3 ) Problem 17SB: In Problems 15-20, find the distance from P 1 to P 2 . P 1 =( 1,2,3 ) and P 2 =( 0,2,1 ) Problem 18SB: In Problems 15-20, find the distance from P 1 to P 2 . P 1 =( 2,2,3 ) and P 2 =( 4,0,3 ) Problem 19SB: In Problems 15-20, find the distance from P 1 to P 2 . P 1 =( 4,2,2 ) and P 2 =( 3,2,1 ) Problem 20SB: In Problems 15-20, find the distance from P 1 to P 2 . P 1 =( 2,3,3 ) and P 2 =( 4,1,1 ) Problem 21SB: In Problems 21-26, opposite vertices of a rectangular box whose edges are parallel to the coordinate... Problem 22SB: In Problems 21-26, opposite vertices of a rectangular box whose edges are parallel to the coordinate... Problem 23SB: In Problems 21-26, opposite vertices of a rectangular box whose edges are parallel to the coordinate... Problem 24SB: In Problems 21-26, opposite vertices of a rectangular box whose edges are parallel to the coordinate... Problem 25SB: In Problems 21-26, opposite vertices of a rectangular box whose edges are parallel to the coordinate... Problem 26SB: In Problems 21-26, opposite vertices of a rectangular box whose edges are parallel to the coordinate... Problem 27SB: In Problems 27-32, the vector v has initial point P and terminal point Q . Write v in the form... Problem 28SB: In Problems 27-32, the vector v s has initial point P and terminal point Q . Write v in the form... Problem 29SB: In Problems 27-32, the vector v has initial point P and terminal point Q . Write v in the form... Problem 30SB: In Problems 27-32, the vector v has initial point P and terminal point Q . Write v in the form... Problem 31SB: In Problems 27-32, the vector v has initial point P and terminal point Q . Write v in the form... Problem 32SB: In Problems 27-32, the vector v has initial point P and terminal point Q . Write v in the form... Problem 33SB: In Problems 33-38, find v . v=3i6j2k Problem 34SB: In Problems 33-38, find v . v=6i+12j+4k Problem 35SB: In Problems 33-38, find v . v=ij+k Problem 36SB: In Problems 33-38, find v . v=ij+k Problem 37SB: In Problems 33-38, find v . v=2i+3j3k Problem 38SB: In Problems 33-38, find v . v=6i+2j2k Problem 39SB: In Problems 39-44, find each quantity if v=3i5j+2k and w=2i+3j2k . 2v+3w Problem 40SB: In Problems 39-44, find each quantity if v=3i5j+2k and w=2i+3j2k . 3v2w Problem 41SB: In Problems 39-44, find each quantity if v=3i5j+2k and w=2i+3j2k . vw Problem 42SB: In Problems 39-44, find each quantity if v=3i5j+2k and w=2i+3j2k . v+w Problem 43SB: In Problems 39-44, find each quantity if v=3i5j+2k and w=2i+3j2k . v w Problem 44SB: In Problems 39-44, find each quantity if v=3i5j+2k and w=2i+3j2k . v + w Problem 45SB Problem 46SB: In Problems 45-50, find the unit vector in the same direction as v . v=3j Problem 47SB: In Problems 45-50, find the unit vector in the same direction as v . v=3i6j2k Problem 48SB: In Problems 45-50, find the unit vector in the same direction as v . v=6i+12j+4k Problem 49SB: In Problems 45-50, find the unit vector in the same direction as v . v=i+j+k Problem 50SB: In Problems 45-50, find the unit vector in the same direction as v . v=2ij+k Problem 51SB Problem 52SB Problem 53SB Problem 54SB Problem 55SB Problem 56SB Problem 57SB Problem 58SB Problem 59SB Problem 60SB Problem 61SB: In Problems 59-66, find the direction angles of each vector. Write each vector in the form of... Problem 62SB: In Problems 59-66, find the direction angles of each vector. Write each vector in the form of... Problem 63SB: In Problems 59-66, find the direction angles of each vector. Write each vector in the form of... Problem 64SB: In Problems 59-66, find the direction angles of each vector. Write each vector in the form of... Problem 65SB Problem 66SB Problem 67SB Problem 68SB: The Sphere In space, the collection of all points that arc the same distance from some fixed point... Problem 69SB: In Problems 69 and 70, find an equation of a sphere with radius r and center P 0 . r=1 ; P 0 =(... Problem 70SB: In Problems 69 and 70, find an equation of a sphere with radius r and center P 0 . r=2 ; P 0 =(... Problem 71SB: In Problems 71-76, find the radius and center of each sphere. [Hint: Complete the square in each... Problem 72SB: In Problems 71-76, find the radius and center of each sphere. [Hint: Complete the square in each... Problem 73SB: In Problems 71-76, find the radius and center of each sphere. [Hint: Complete the square in each... Problem 74SB: In Problems 71-76, find the radius and center of each sphere. [Hint: Complete the square in each... Problem 75SB: In Problems 71-76, find the radius and center of each sphere. [Hint: Complete the square in each... Problem 76SB: In Problems 71-76, find the radius and center of each sphere. [Hint: Complete the square in each... Problem 77SB: Work Find the work done by a force of 3 newtons acting in the direction 2i+j+2k in moving an object... Problem 78SB: Work Find the work done by a force of 1 newton acting in the direction 2i+2j+k in moving an object 3... Problem 79SB Problem 80RYK: solve: 3 x2 5 Problem 81RYK: Given f( x )=2x3 and g( x )= x 2 +x1 , find ( fg )( x ) . Problem 82RYK: Find the exact value of sin 80 cos 50 cos 80 sin 50 . Problem 83RYK: Solve the triangle. format_list_bulleted