हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा ११

Find the value or values of m for which mijkm(i^+j^+k^) is a unit vector - Mathematics

Advertisements
Advertisements

प्रश्न

Find the value or values of m for which `"m"(hat"i" + hat"j" + hat"k")` is a unit vector

योग

उत्तर

The given vector is `"m"(hat"i" + hat"j" + hat"k")`

Given that it is a unit vector.

∴ `|"m"(hat"i" + hat"j" + hat"k")|` = 1

`|"m"(hat"i" + hat"j" + hat"k")|` = 1

`"m"(+-  sqrt(1^2 + 1^2 + 1^2))` = 1

m = `+-  1/sqrt(3)`

shaalaa.com
Representation of a Vector and Types of Vectors
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Vector Algebra - Exercise 8.2 [पृष्ठ ६८]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 8 Vector Algebra
Exercise 8.2 | Q 16 | पृष्ठ ६८

संबंधित प्रश्न

Find the value of λ for which the vectors `vec"a" = 3hat"i" + 2hat"j" + 9hat"k"` and `hat"b" = hat"i" + lambdahat"j" + 3hat"k"` are parallel


Show that the following vectors are coplanar

`hat"i" - 2hat"j" + 3hat"k", -2hat"i" + 3hat"j" - 4hat"k", -hat"j" + 2hat"k"`


Show that the following vectors are coplanar

`2hat"i" + 3hat"j" + hat"k", hat"i" - hat"j", 7hat"i" + 3hat"j" + 2hat"k"`


Show that the points whose position vectors `4hat"i" + 5hat"j" - hat"k", - hat"j" - hat"k", 3hat"i" + 9hat"j" + 4hat"k"` and `-4hat"i" + 4hat"j" + 4hat"k"` are coplanar


Find the unit vector parallel to `3vec"a" - 2vec"b" + 4vec"C"` if `vec"a" = 3hat"i" - hat"j" - 4hat"k", vec"b" = -2hat"i" + 4hat"j" - 3hat"k"`, and `vec"c" = hat"i" + 2hat"j" - hat"k"`


The position vectors `vec"a", vec"b", vec"c"` of three points satisfy the relation `2vec"a" - 7vec"b" + 5vec"c" = vec0`. Are these points collinear?


The position vectors of the points P, Q, R, S are `hat"i" + hat"j" + hat"k", 2hat"i" + 5hat"j", 3hat"i" + 2hat"j" - 3hat"k"`, and `hat"i" - 6hat"j" - hat"k"` respectively. Prove that the line PQ and RS are parallel


Choose the correct alternative:
If `vec"a" + 2vec"b"` and `3vec"a" + "m"vec"b"` are parallel, then the value of m is


Choose the correct alternative:
If ABCD is a parallelogram, then `vec"AB" + vec"AD" + vec"CB" + vec"CD"` is equal to


Choose the correct alternative:
One of the diagonals of parallelogram ABCD with `vec"a"` and `vec"b"` as adjacent sides is `vec"a" + vec"b"`. The other diagonal `vec"BD"` is


Choose the correct alternative:
If `vec"a", vec"b", vec"c"` are the position vectors of three collinear points, then which of the following is true?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×