If neither, find the angle between them. Angle between Two Planes: The angle between two planes equals the angle between the respective normal vectors to two planes, and helps decide whether the planes are parallel, perpendicular, or neither. ...
解析 Since the direction vectors (1,-2,-3) and (1,3,-7) aren't scalar multiples of each other, the lines aren't parallel. Parametricequations of the lines are L_1: x=2+t, y=3-2t, z=1-3t and L_2: x=3+s, y=-4+3s, z=2-7s. Thus, for thelines to intersect, the th...
Determine whether the two lines intersect, are parallel, are skew, or coincide. If they intersect, give the point of intersection. a) L_1: = \frac{x - 3}2 = \frac{y - 1}{-1} = \frac{z - 4}1, L_2: = \ Determine whether the lines k...
True or False: If two angles of a triangle are unequal, then the shorter one is acute. Determine whether the following statement is true or false. Explain your reasoning. When two angles and an included side of a triangle are known, the triangle ...
are perpendicular in R3. Question: Determine whether the vectors u→=(2,2,4) and v→=(−3,5,7) are perpendicular in R3. Dot Product of Vectors: Let's say we have two vectors u→ and v→. The dot product of the vectors is nothing but the scalar product of...
Hair follicles, mammalian mini-organs that grow hair, miniaturize during aging, leading to hair thinning and loss. Here we report that hair follicle stem cells (HFSCs) lose their regenerative capabilities during aging owing to the adoption of an atypical
In addition, if the atomic layers are evenly distributed in one direction, the number of required reference lattices can also be greatly reduced. Figure 4a and Fig. 4b are the simulated HRSTEM image of these two Ga crystal structures (hexagonal and monoclinic). The corresponding εxx strain ...
If A is a nonempty, nonvector matrix, then B = any(A) treats the columns of A as vectors, returning a row vector of logical 1s and 0s. If A is an empty 0-by-0 matrix, any(A) returns logical 0 (false). If A is a multidimensional array, any(A) acts along the first array ...
we characterized h-asyn a53t, m-asyn, h-asyn chimera, and m-asyn chimera in terms of their toxicity to nigral dopamine neurons in vivo. raav vectors encoding these variants were injected unilaterally into the rat sn at two different titers, corresponding to a low-toxicity titer at 1.3e13...
Answer to: It is given: | | m | | = 4 ; | | n | | = 3 ; ( m , n ) = 150 (a) Find the norm of the vector m + 2 n (b) Determine if the vectors...