What is the magnitude of Ā =4i + 2j ?
Answers
Answer:
What is the angle between vector A=4i+5j and vector B=3i+2k?
What is the angle between vector A=4i+5j and vector B=3i+2k?
A⋅B=(4i+5j)⋅(3i+2k)=4×3=12 since all other terms are zero. Now divide by 42+52−−−−−−√×32+22−−−−−−√=533−−−√, because we really want the dot product of unit vectors in the directions of A and B, since that is the cosine of the angle between them.
This gives:
cosθ=12533√≈0.519777698
Take arccosine and get the desired angle:
θ≈arccos0.519777698≈58.68°.
cos a = (4*3+5*2)/sqrt((4^2+5^2)(3^2+2^2))=22/sqrt(41*13)=17.65 degrees =0.30805 radian
You divide dot product of the vectors by the product of their lengths.
What is the angle between the vectors a =2i+3j and b=6i-4j?
Find the angle between force (3i + 4j - 5k) and displacement (5i + 4j + 3k).What is the projection of force on displacement?
Find the angle between force (3i + 4j - 5k) and displacement (5i + 4j + 3k).What is the projection of force on displacement? Use the formula for the dot product to find the angle between the two vectors. The projection of the force on displacement is the dot product of the force and the unit displacem
What is the angle between the vectors a=2i+2j-2k and b=3i-4j?
Given, \vec{a} = (2, 2, -2) \vec{b} = (3, -4, 0) Therefore, \vec{a} \cdot \vec{b} = a_{x}b_{x} + a_{y}b_{y} + a_{z}b_{z} \vec{a} \cdot \vec{b} = 6 - 8 + 0 = -2 \lVert \vec{a} \rVert = \sqrt{2^2 + 2^2 + (-2)^2} = \sqrt{6} \lVert \vec{b} \rVert = \sqrt{3^2 + (-4)^2} = 5 From the dot product definition, we kn
What is the angle between two vectors 2i+3j+k and -3i+6k?
Given vectors are A=2i+3j+k and B=-3i+6k. Cosine of angle θ between vectors A and B is given by cosθ=(A.B)/(|A||B|) Calculate A.B as A.B=(2i+3j+k).(-3i+6k) =-6(i.i)+12(i.k)-9(j.i)+18(j.k)-3(k.i)+ 6(k.k) =-6+0-0+0-0+6 =-6+6=0 Thus cosθ=0=>θ=90°. Hence given vectors are
How do I find a vector which is parallel to vector a=3i+2j-k and the magnitude is 4?
For this first we need to find unit vector in the direction of vector a. Unit vector a = (vectora)/|a| Now all we need to do is to multiply unit vector a with magnitude 4. Required answer is (12i + 8j - 4k)/sq root(14). Sorry for bad formatting. Still have any questions feel free to drop a comment.
What is the angle between the two vectors: 3i+4j+5k and 3i+4j-5k?
Dot product of the 2 vectors = 0. Therefore cos x = 0 where x is the angle between the 2 vectors. S0 x = 90°.
What is the angle between the following vectors: (2i + 5j) (2,5)?
The given two vectors are same. Therefore angle between them is zero degree . The first one that is (2i + 5j) is in component form while the second one that is (2, 5) is in the form of a complex number, but both representing the same vector OP where O is origin and P is the point (2, 5) in the xy pl
What is the component of vector a is along b and vector b is along a, when vector a is 2i +3j +4k and vector b is I+j+k?
So we start with \vec{a} = 2\hat{i} + 3\hat{j} + 4\hat{k} \vec{b} = \hat{i} + \hat{j} + \hat{k} Dot products are all about projection. We can think of \vec{a} \bullet \vec{b} as the projection of one vector onto another, but with two problems. First, the projection of \vec{a} onto \vec{b} should not de
If the resultant of the vectors 3i+4j+5k and 5i+3j+4k makes an angle # with an x-axis, then what is cos#?
Hope you have got the answer
If vector A=2i^+AJ^+ k^ will be perpendicular to vector B=4i^- 2j^-k^, what is the value of 'a'?
Vector A and B are perpendicular , so the dot product of A and B is zero,i.e A.B=0 A = 2i + aj + k and B = 4i -2j - k Now A.B = (2i+aj+k).(4i-2j-k)=0 Or, 2×4 - a×2 -1 =0 Or, 2a = 8–1 Or, a = 7/2 The value of a is 7/2
What is the angle between the vectors a =2i+3j and b=6i-4j?
Find the angle between force (3i + 4j - 5k) and displacement (5i + 4j + 3k).What is the projection of force on displacement?
What is the angle between the vectors a=2i+2j-2k and b=3i-4j?
What is the angle between two vectors 2i+3j+k and -3i+6k?
How do I find a vector which is parallel to vector a=3i+2j-k and the magnitude is 4?
What is the angle between the two vectors: 3i+4j+5k and 3i+4j-5k?
What is the angle between the following vectors: (2i + 5j) (2,5)?
What is the component of vector a is along b and vector b is along a, when vector a is 2i +3j +4k and vector b is I+j+k?
If the resultant of the vectors 3i+4j+5k and 5i+3j+4k makes an angle # with an x-axis, then what is cos#?
If vector A=2i^+AJ^+ k^ will be perpendicular to vector B=4i^- 2j^-k^, what is the value of 'a'?
hope it helped u
Mark me as brainliest
follow me
thank me
my freefire id is MadMax5740P
• GiveN :
• To FinD :
• SolutioN :
________________________
HAVE A WONDERFUL DAY AHEAD...
