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प्रश्न
Represent graphically the displacement of 45 cm, 30° north of east
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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"`.
- `\overline"PR"`
- `\overline"PM"`
- `\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`.
- `bar(PR)`
- `bar(PM)`
- `bar(QM)`
Check whether the vectors `2 hati+2hatj+3hatk-3hati+3hatj+2hatk and 3hati+4hatk`form a triangle or not.