Given that the plane contains line r= i+ j+λ ( i +2 j- k) and point A (-1,3,-4).Hence, the point b = i+ j and the vector c = i +2 j- k lies on the plane.If the co - ordinates of a point A (x_1,y_1,z_1), then the position vector of A(a ) isa=x_...
Find the plane that contains the line {eq}\; x = 1 + t, \; y = 2 - t, \; z = 4 - 3t \; {/eq} and is parallel to the plane {eq}\; 5x + 2y + z = 1 {/eq}. Parallel Planes: Let's take two planes {eq}ax + by + c...
tangent plane - the plane that contains all the lines tangent to a specific point on a surface 3. plane - a level of existence or development; "he lived on a worldly plane" degree, stage, level, point - a specific identifiable position in a continuum or series or especially in a proces...
Find an equation for the plane that contains the line of intersection of the planes {eq}x - z = 1 \enspace and \enspace y + 2z = 3 {/eq}. Equation of a Plane: Given a point {eq}(x_0,y_0,z_0) {/eq} and a vector, {eq}\mathbf{n}=<a...
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Find an equation for the plane through the point (-1; 1; 2) that contains the line of intersection of the planes P1 : x + y + z = 1 and P2 : x + 2y + 2z = 1. Determine whether the lines intersect. If ...
一条美国的微积分的数学问题Find an equation of the plane.The plane that passes through the point(−2,3,3)and contains the line of intersection of the planesx + y − z = 3 and 4x − y + 5z = 5我就奖赏分吧! 答案 SolutionThe nomal vector of plane L₁x + y - z = 3 is...
The first line contains point (c,d) and has a slope of 2, so its equation is d=2c+b. Substitute (3d)2 for c to get d=2((3d)2)+b, which becomes d=3d+b or -2d=b. The second line contains the point (3,2d), has a slope of -3, and the same y-intercept as the ...
Of a note or voice, lower in pitch than it should be. Deflated, especially because of a puncture. Uninteresting. Of a carbonated drink, with all or most of its carbon dioxide having come out of solution so that the drink no longer fizzes or contains any bubbles. ...
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