To find the unit vector in the direction of the vector →a=^i+^j+2^k, we will follow these steps: Step 1: Identify the vectorThe given vector is:→a=^i+^j+2^k Step 2: Calculate the magnitude of the vector →aThe magnitude of a vector →a=ax^i+ay^j+az^k is calculated us...
To find the unit vector in the direction of the sum of the vectors →a and →b, we will follow these steps: Step 1: Write down the given vectorsWe have:→a=2^i−^j+2^k→b=−^i+^j−^k Step 2: Calculate the sum of the vectors →a+→bTo find the sum, we add the ...
Find a vector giving the direction in which the functionfincreases most rapidly at the pointP.What is the maximum rate of increase? (a)f(x,y)=loge(4x3-3y), P(1,1). (b)f(x,y)=xey-logex, P(-3,0). (c)f(x,y,z)=xy+yz...
题目 find a unit vector u with the same direction as the given vector a. Express u in terms of i and j. Also find a unit vector v with the direction opposite that of a.a=8i+15j 相关知识点: 试题来源: 解析 u= 8(17)i+ (15)(17)j; v=- 8(17)i- (15)(17)j 反馈 收藏...
Find a unit vector in the same direction as the given vector. {eq}a = 9i + 40j {/eq} Unit Vector: In vector algebra, we have studied numerous types of vectors, such as position vectors, unit vectors, zero vectors, coinitial vectors, and so on. A vector with a ma...
百度试题 结果1 题目4 b Find the unit vector in the same direction as 相关知识点: 试题来源: 解析 b 反馈 收藏
39. (a) Find the unit vector n in the direction of the vector Express the vector-4in terms of n. (b) Find the vector p which has a magnitude of 39 units and is in the same direction as12(c) The position vectors of A and B relative to an origin O are and83respectively. Find...
百度试题 结果1 题目3 (a)Find the vector which has magnitude 39 and is in the same direction as 相关知识点: 试题来源: 解析 13 soi 36 -15 反馈 收藏
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)...
There are 2 steps to solve this one. Solution Share Step 1 Given that the vector <1,4>. Find the unit vector in the direction of ⟨1,4⟩.View the full answer Step 2 Unlock Answer UnlockPrevious question Next questionNot the question you’re looking for...