The angle between the line r=(-1,2,3)+λ (1,9,8)(λ∈ ) and the plane r⋅ (2,8,2)=3 is: sin ^(-1)| (v⋅ n)(|v||n|)|=sin ^(-1)| ((1,9,8)⋅ (2,8,2))(|(1,9,8)|⋅|2,8,2|)|=sin ^(-1)| (90)(√ (146)√ (72))|≈ 1.071.反馈...
To solve the given problems step by step, we will use the formula for finding the angle between a line and a plane. The formula for the sine of the angle
The line of intersection of the planes→r.(3ˆi−ˆj+ˆk)=1and→r.(ˆi+4ˆj−2ˆk)=2is: View Solution Find the distance between the parallel planes→r⋅(−ˆi−ˆj+ˆk)=3,→r⋅(ˆi+ˆj−ˆk)=5. ...
解析 Answer 1: It is given that, Now, we know that a⋅b=|a||b|cosθ ∴√6=√3*2*cosθ ⇒cosθ=(√6)/(√3*2) ⇒cosθ=1/(√2) ⇒θ=π/(4) π Hence, the angle between the given vectors a and is 反馈 收藏 ...
To find the angle between two curves intersecting in a point, we will calculate the angle between the tangent vectors to the curve at the common point. If we are interested in the acute angle of intersection, then we will take the positive argument of inverse cosine function: {eq}\...
百度试题 结果1 题目 2. Find the angle between two vector a and b with magnitude 1 and 2 respectively and a × b|=√3. 相关知识点: 试题来源: 解析 60° 反馈 收藏
I can't do much with this since you didn't supply BW. But anyway, I don't know what it does but I never use bwtraceboundary(). I always get boundaries with bwboundaries() because it is much easier. Would that work for you?
Find the angle between the following pairs of line:−x+2−2=y−17=z+3−3andx+2−1=2y−84=z−54 View Solution Find the angle between the following pair of lines:−x+2−2=y−17=z+3−3andx+2−1=2y−84=z−54and check whether the lines are parallel or per...
Ex.1 Find the acute angle between lines having slopes 3 and -2. 相关知识点: 试题来源: 解析 Solution : Let and .Let \theta be the acute angle between them.The acute angle between lines having slopes 3 and -2 is . 反馈 收藏
Find the angle between the line →r=ˆi+2ˆj−ˆk+λ(ˆi−ˆj+ˆk) and the plane →r.2ˆi−ˆj+ˆk=4. View Solution Find the shortest distance between the lines →r=(ˆi+2ˆj+ˆk)+λ(ˆi−ˆj+ˆk)and →r=2ˆi−ˆj−ˆk+μ(2...