Suppose the plane II is given by the equation A + By +7z = 8, and it is parallel to the lines l1, 2 given below. Find A + B. I = 8t + 9 = 7s + 4 = 9t + 4 l2 : = 11 = 16 = 9s + 8* sER teR (Answer is an integer !)

Q: Do the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane? Justify your…

A: To check: If the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane and…

Q: What is an equation that is perpendicular to the line 4x + 6y = 6 ?

A: Given: 4x+6y=6

Q: Which equation represents the line that contains the point (1, 4) and is parallel to the line…

A:

Q: The plane through the points (8,-2,-5), (4,-7,5), (3,-1,8) has equation Ax+By+Cz = D. If A = -75…

A: Given: The plane through the points (8,-2,-5),(4,-7,5),(3,-1,8) hasequation Ax+By+Cz=D. We are…

Q: Solve the system of equations using matrices (row operations). -x+ y+ z= -1 -x+ 3y - 3z = - 15 7x -…

A: Given system of equations  -x+y+z=-1-x+3y-3z=-157x-6y-9z=0 can be written as AX=b, where…

Q: What is the equation of the line perpendicular to the line joining (4, 2) and (3, −5) and passing…

A:

Q: find the equation of the line passing through the point (3,5) and parallel to the line 2x+5y=4.

A: Answer and explanation is given below

Q: B) Find an equation of the line that passes through the point (-2, 3) and is parallel to the line 4…

A: To find the equation of line that passes through point (-2,3) and parallel to line 4x+4y=8

Q: Find the equation of the line that passes through point (1,3) and is perpendicular to the that…

A:

Q: For the line 3x2 - 2x - 21= 0, how did you get the figure 3x2 ?

A: NOTE: Refresh your page if you can't see any equations. . find the determinant of the matrix

Q: find the equation of a line which contains the point (4,-2) and is perpendicular to 4x+3y=-6

A: equation of a line which contains the point (4,-2) and is perpendicular to 4x+3y=-6

Q: Find equation of two different lines l2 and l3 through the point (6,-4) that are parallel to the…

A: The equation of line in standard form is ax+by=k where k is a constant. Since the equation of the…

Q: A) Write the equation of the line PARALLEL to y + 3x = -8 and passes through (6,-4) Do NOT use the…

A:

Q: 14) Write the equation of the line passing through the point (14, -3) that is parallel to the line…

A:

Q: Find the distance from the point (5,-3) to the line 7x - 4y - 28 = 0

A: As we know that; The expression for the distance from the given point Px0,y0 to the line…

Q: Q3, Passes through (4,10) and Perendicular to the line 6X-34=5.

A: Hope you get it

Q: Write the equation of the perpendicular bisector that goes through the line segment with end points…

A: Given: Two points A(1,2) and B(-2, 8)

Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.