Let X and Y be vectors in R^3 which are non-collinear with t

英文数学题.谢谢!
1.Which of the following vectors are perpendicular to each other?
(a)2i-3j+6k (b)2i-3j-6k (c)-3i-6j+2k (d)6i-2j-3k
2.Let a=( 4 ).Find the magnitude of a,and find a unit vector in the same direction as a.
(-3 ) 2个括号是连在一起的.要过程.

矢量代数问题
The position vectors of the points A and B,relative to an origin O,are (3,4) and (k,2k) respectively.
Given that the magnitude of AB is 2,calculate the values of k.

英语翻译
1、expression of a given vector in terms of two vectors
2、possilbe outcomes in the sample space
3、simple combined events and possibility diagrams
（由于积分不够,现在只能给5分,明天来加分）

数学问题但要看的懂英语
point A,B have position vectors a and b relative to origin O,where a=4i+3j-2k b=-7i+5j+4k find the angle OAB
我翻译不好 大概意思是 矢量A B 有位置矢量a 和 b 和原点有关
a=4i+3j-2k b=-7i+5j+4k 求角 OAB 答案是43度
光知道答案有什么用

求翻译一道英文的物理题
Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as (c) a magnitude and (d) an angle relative to +x (including sign plus or minus).
P: 6.8 m, at 34o counterclockwise from +x
Q: 21 m, at 6.5o counterclockwise from +y
R: 8.9 m, at 31o clockwise from -y
S: 6.9 m, at 37o counterclockwise from -y

英语翻译
7. Figure 5: the force vectors should be emphasized, now it is not clear what is a vector and what is a
measurement line for the levers. Also, here the force F is parallel to the sea level, but in text, there
is the angle. Consider, updating the figure to correspond the text.

求英语帝数学帝进麻烦解下题,
GIVE the vectors 向量a=(1,2,3),向量b＝(3,2,1) and 向量c＝(1,1,1)
a) Calculate the angle & between 向量a and 向量b.
b) Calculate:(向量a x 向量b)x 向量c.x＝乘
c）what can you say about the vectors 向量a,向量b,向量c.
.明天就要交了急啊

Find the unit vectors that are parallel to the tangent line to the curve y = 8 sin x
at the point (π/6,4).(Enter your answer as a comma-separated list of vectors.)

线性代数 线性无关 证明题?
Let v1,v2 and v3 be vectors in a vector space V .Decide whether or not
w1 = v1 + v2,w2 = v2 + v3 and w3 = v1 − v3 are linearly independent,giving
reasons for your answer.怎么证明?

英语翻译
是一篇关于x-37的外文论文，附加In such diagrams,the vectors that represent the aileron,rudder,angle-of-sideslip,CG in the y direction,and jet rolling and yawing can be drawn to size up the lateral/directional trim authority.这篇文章中的。主要是trim authority需求帮忙翻译

向量
1.(12 points) (a) Draw the following two vectors on the paper,and add them graphically.
vector a:5.0 cm in the +y direction
vector b:3.0 cm in the -x direction
(b) Using a ruler,measure the magnitude of the resultant vector c (=a+b)
x05x05x05x05x05x05x05
(c) Using the Phythagorian theorem,calculate the magnitude of c and compare it with the
measurement
(d) What is the angle between the vector c and vector
x05x05x05x05x05x05
x05x05x05x05x05x05
x05x05x05x05x05x05x05
2.(8 points) (a) Draw the following two vectors on the paper,and add them graphically.
vector a:4.0 cm from the origin towards -y direction at an angle of 45 degrees from the +x
axis
vector b:6.0 cm in the +x direction
(b) Draw a vector d (=a-b)
x05x05x05x05x05x05
x05x05x05x05x05x05
x05x05x05x05x05x05x05
3.(6 points) Draw the following three vectors on the paper,and add them graphically.
vector a:3.0 cm from the origin towards +y direction at an angle of 30 degrees from the +x
axis
vector b:4.0 cm from the origin towards +y direction
vector c:5.0 cm from the origin towards -x direction
x05x05x05x05x05x05
x05x05x05x05x05x05
x05x05x05x05x05x05x05
4.(12 points) Add the following two vectors using their components and find the magnitude
and the direction (angle with respect to the +x axis) of the resultant vector.
vector a:9.0 cm from the origin towards +y direction at an angle of 22 degrees from the -x
axis
x05x05x05x05x05x05x05
vector b:4.0 cm in the -y direction
我不是要翻译，我是完全没学过这个.

求数学翻译高手.
Consider a set of N vectors X¼{x1, x2,y, xN} to be clustered into C groups (1