Find the unit vector perpendicular to plane ABC where the position vector of A,B and C are 2ˆi−ˆj+ˆk,ˆi+ˆj+2ˆk and 2ˆi+3ˆk respectively. View Solution (a) Prove that the normal to the plane containing three points whose position vectors are →a,→b,→c ...
Find a unit vector which is perpendicular to each of the vectors in the following:ˆi−ˆj+ˆkand2ˆi+3ˆj−ˆk View Solution Find a unit vector perpendicular to the plane of two vectors→aand→bwhere→a=4ˆi−ˆj+3ˆkand→b=−2ˆi+ˆj−ˆk ...
Find a direction vector which is perpendicular to the plane passing through the points: (1)(1, 3, 2), (0, 2, -5) and (3, 1, -4) (2)(2, 0, -1), (0, 1, 3) and (1, -1, 1). 相关知识点: 试题来源: 解析 (1)(pmatrix)25-1(pmatrix) (2)(pmatrix)201(pmatrix)...
Find an equation of the plane. The plane through the origin and perpendicular to the vector (1, -2, 5). Find a vector perpendicular to the plane 3x + 5y - 2z = 100. Find a vector perpendicular to the plane z=7x+5y . Find a vector that is perpendicular to th...
(-1, -0.3), which points in the opposite direction of the first solution. These are the only two directions in the two-dimensional plane perpendicular to the given vector. You can scale the new vector to whatever magnitude you want. For instance, to make it a unit vector with magnitude ...
Find an equation of the plane through the point {eq}(1, \; -5, \; -3) {/eq} and perpendicular to the vector {eq}\left \langle -1, \; -1, \; 4 \right \rangle {/eq}. Equaton of a Plane Passing Through a Point: {eq}\text{The equation of a p...
Question: Point G is the centroid ofΔABC. Use the given information to find the value of the variable. IfFG=x+8andGA=6x−4,x=? IfCG=3y+7andCE=6y,y=? Centroid Answer and Explanation:1 IfFG=x+8andGA=6x−4,x=? Looking at the figure, we know...
Hello! I can provide some guidance on how to find a vector perpendicular to another vector. First, let's define what it means for two vectors to be perpendicular. Two vectors are perpendicular if their dot product is equal to zero. This means that they are at a 90 degree angle to each...
In summary, the person is seeking help with a question about finding a vector perpendicular to every vector in a linear subspace described by x-y+z=0. They are unsure how to use the cross product since no vectors are given. The first step would be to identify the...
Find a vector that is perpendicular to both (1,1,0) and (1,0,1).There are 2 steps to solve this one. Solution Share Step 1 The given vectors are (1,1,0)and(1,0,1) We have to find the vector that is perpendicular to both the vectors (1,1,0)and(1,0,...