Find the projection of a vector i+3j+7k...

Find the projection of a vector `i+3j+7k` on the vector `7i-j+8k`.

Topper's Solved these Questions

THREE DIMENSIONAL GEOMETRY
V PUBLICATION|Exercise QUESTION BANK|103 Videos

Similar Questions

Explore conceptually related problems

The projection of the vector 2i + aj - k on the vector i - 2j + k is (-5)/(sqrt(6)) . Then, the value of a is equal to

Find the projection vector of vecb=i+2j+k along the vector veca=2i+j+2k . Also write vecb as the sum of a vector along veca and a parpendicular to veca .

The projection of the vector 2i+3j+2k on the vector i+j+k is a) frac(3)(sqrt3) b) frac(7)(sqrt3) c) frac(3)(sqrt17) d) frac(7)(sqrt17)

Find the direction cosine of the vector 2i+2j-k.

If veca=3i+j+2k, If the projection of veca on another vector vecb is sqrt14 , which among the following could be vecb ? i+j+k 6i+2j+4k 3i-j+2k 2i+3j+k

Find the projection of the vector oversetrarra =2overset^^i+overset^^j -3 overset^^k on the vector. oversetrarrb =-overset^^i+3overset^^j-overset^^k

If (1,2,4) and (2,-3 lambda , -3 ) are the initial and terminal points of the vector i+5j - 7k , then the value of lambda is

Find the area of a parallelogram for which the vectors 2i+j,3i+j+4k are adjacent sides.

Find the angle between the vectors veca=2i+j-k and vecb=i-j+k .

Consider the vectors oversetrarra=2overset^^i-3overset^^j+overset^^k" and "oversetrarrb = overset^^i+overset^^j-2overset^^k . Find the projection of oversetrarra " on "oversetrarrb

V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK

Find the angle between the vectors hati-2 hatj+3 hatk and 3 hati-2 hat...
Text Solution
|
Find the projection of the vector hati-hatj on the vector hati+hatj.
Text Solution
|
Find the projection of a vector i+3j+7k on the vector 7i-j+8k.
Text Solution
|
Show that each of the given three vectors is a unit vector :1/7(2overs...
Text Solution
|
Find |veca| and |vecb|, if (veca+vecb) .(veca-vecb)=8 and |veca|=8|vec...
Text Solution
|
Evaluate the product (3 veca-5 vecb) .(2 veca+7 vecb)
Text Solution
|
Find the magnitude of two vectors oversetrarra"and"oversetrarrb, havin...
Text Solution
|
Find |vecx|, if for a unit vector veca,(vecx-veca) .(vecx+veca)=12'
Text Solution
|
If" " oversetrarra=2overset^^i+2overset^^j+3overset^^k," " oversetrarr...
Text Solution
|
Show that""|oversetrarra|oversetrarrb +|oversetrarrb| oversetrarra"" i...
Text Solution
|
If veca.veca=0 and veca. vecb=0, then what can be concluded about the ...
Text Solution
|
If veca, vecb, vecc are unit vectors such that veca+vecb+vecc=0, fin...
Text Solution
|
If either veca=vec0"or" vecb =vec0, "then"vecaxxvecb=vec0.Is the conve...
Text Solution
|
If the vertices A,B,C of a triangle ABC are (1,2,3),(-1,0,0),(0,1,2)re...
Text Solution
|
Using vectors, show that the points A(1,2,7),B(2,6,3),C(3,10,-1) are...
Text Solution
|
Show that the vectors 2 hati-hatj+hatk, hati-3 hatj-5 hatk and 3 hati-...
Text Solution
|
If a is a non-zero vector of magnitude'a' and lambda a non-zero scala...
Text Solution
|
Show that the area of a parallelogram with diagonals veca and vecb is ...
Text Solution
|
Find |veca xx vecb| if veca=2 hati+hatj+3 hatk and vecb=3 hati+5 hatj-...
Text Solution
|
Find a unit vector perpendicular to each of the vectors (veca +vecb) a...
Text Solution
|