How to check if two vectors are parallel? Determine whether the given vectors are parallel, orthogonal or neither. a = 3i - j + 3k, b = 5i + 9j - 2k. Show how to determine if two vectors are parallel. Show how to determine if 2 vectors are parallel. ...
Determine whether the given vectors are parallel, orthogonal or neither. {eq}a = 3i - j + 3k, b = 5i + 9j - 2k {/eq} Dot product of Vectors: Let's say we have two vectors {eq}\displaystyle \vec a {/eq} and {eq}\displaystyle \vec b {/eq}....
If they intersect, find the point of intersection.L_1: (x-2)1= (y-3)(-2)= (z-1)(-3)L_2: (x-3)1= (y+4)3= (z-2)(-7) 相关知识点: 试题来源: 解析 Since the direction vectors (1,-2,-3) and (1,3,-7) aren't scalar multiples of each other, the lines aren't pa...
Determine whether the planes are parallel, perpendicular, or neither. If neither, find the angle between them. x+y+z=1,x-y+z=1. Please help, what is the angle? That answer says that it should be70.5degrees but I dont know how that a...
Parallel bioreactors, such as the Sartorius AMBR250 system, allow multiple fermentations to be carried out simultaneously, decreasing the time required to generate data. Growth-coupling relationships are strain and condition specific, and therefore will vary for every bioprocess. It is possible to use...
Here the given lines are: {eq}L_1 : x=t, y = 1-t, z=2+3t \\ L_2 : x = 2+2s, y = 2s, z = 3+s {/eq} The direction vectors are {eq}\left\langle {1,... Learn more about this topic: Parallel Lines | Definition &...
Then I am making the cross product between these two vectors, ensuring that the winding order is correct for the normal to be pointing inside the frustum, in this caseV x Uwill give the correct normal. Right_normal = V x U Once I have the normal for each plane, I am then checking ...
If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4... 03:21 Let vecV = 2hati +hatj - hatk and vecW= hati + 3hatk . if vecU is a u... 04:01 Find the value of a so that the volume of the parallelopiped formed b... 02:03 If veca = (hati +...
So in the plane, a vector field is parallel to the x-axis if it has a y-component equal to 0, and a vector field is parallel to the y-axis if it has an x-component that is equal to 0. Recall that the gradient vector is...
The magnitude of a vector is calcualted as {eq}\displaystyle |\mathbf{u} |= |\langle a,b,c \rangle|=\sqrt{a^2+b^2+c^2}. {/eq} The direction of a vector is given by the angles it makes with the coordinate axes. Two vectors are parallel ...