हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा ११

Represent graphically the displacement of 45 cm, 30° north of east - Mathematics

Advertisements
Advertisements

प्रश्न

Represent graphically the displacement of 45 cm, 30° north of east

आलेख

उत्तर



shaalaa.com
Algebra of Vectors
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Vector Algebra - Exercise 8.1 [पृष्ठ ५९]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 8 Vector Algebra
Exercise 8.1 | Q 1. (i) | पृष्ठ ५९

संबंधित प्रश्न

If `|bar("a")|` = 2, `|bar("b")|` = 5, and `bar("a")*bar("b")` = 8 then `|bar("a") - bar("b")|` = ______ 


Find a unit vector in the opposite direction of `bar("u")`. Where `bar("u") = 8hat"i" + 3hat"j" - hat"k"`


Represent graphically the displacement of 80 km, 60° south of west


If `(bar"a" + 2bar"b" - bar"c") * [(bar"a" - bar"b") xx (bar"a" - bar"b" - bar"c")] = "k"[bar"a"  bar"b"  bar"c"]`, then the value of k is


A line makes angles α, β, γ with the co-ordinate axes and α + β = 90°, then γ = ______.


The angle between two adjacent sides `overlinea` and `overlineb` of parallelogram is `pi/6`. if `overlinea` = (2, -2, 1) and `|overlineb| = 2|overlinea|`, then area of this parallelogram is ______ 


If C is the midpoint of AB and P is any point outside AB, then ______


Which of the following is not equal to w · (u × v)?


If `overline (a) =10hat("i") + lambda hat("j") + 2hat("k")` is perpendicular to `overline (b)= hat ("i")+hat("j")-hat("k")`, then λ is equal to ______.


The position vectors of three consecutive vertices of a parallelogram are `hat"i" + hat"j" + hat"k", hat"i" + 3hat"j" + 5hat"k"` and `7hat"i" + 9hat"j" + 11hat"k"`. Find the position vector of the fourth vertex.


If `veca = hati - hatj + hatk, vecb = 2hati + λhatj + hatk, vecc = hati - hatj + 4hatk` and `veca.(vecb xx vecc)` = 10, then λ is equal to ______.


Let a = `hati + 2hatj + hatk`, b = `hati - hatj + hatk`, c = `hati + hatj - hatk`. A vector coplanar to a and b has a projection along with c of magnitude `1/sqrt(3)`, then the vector is ______.


If a = `3hati - 2hatj + hatk` and b = `2hati - 4hatj - 3hatk`, then | a – 2b | will be ______.


In the triangle PQR, `bar("PQ") = 2bar "a"` and `bar("QR") = 2bar "b".` The mid-point of PR is M. Find the following vectors in terms of `bar "a"  "and"  bar"b"`.


In the triangle PQR, `\overline"PQ"` = 2`\overline"a"` and `\overline"QR"` = 2`\overline"b"`. The mid-point of PR is M. Find the following vectors in terms of `\overline"a"` and `\overline "b"`.

  1. `\overline"PR"`
  2. `\overline"PM"`
  3. `\overline"QM"`

Check whether the vectors `2hati + 2hatj + 3hatk, -3hati + 3hatj + 2hatk, "and"  3hati + 4hatk` form a triangle or not.


In the triangle PQR, `bar(PQ)` = 2 `bara` and `bar(QR)` = 2 `barb`. The mid-point of PR is M. Find the following vectors in terms of `bara` and `barb`.

  1. `bar(PR)`
  2. `bar(PM)`
  3. `bar(QM)`

Check whether the vectors `2 hati+2hatj+3hatk-3hati+3hatj+2hatk and 3hati+4hatk`form a triangle or not. 


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×