Important Questions Class 12 Maths Chapter 10Vectors Unit Vector A unit vector has a length (or magnitude) equal to one, which is basically used to show the direction of any vector. Aunit vectoris equal to the ratio of a vector and its magnitude. Symbolically, it is represented by a cap...
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Using the formula for scalar product of two vectors, we have cos(θ)=x→⋅y→|x→||y→| Given we have |x→||y→|―=1 and x→⋅y→=2, therefore cos(θ)=12θ=cos−1(0.5)θ=60∘ Example 2: If x→=5i^+4j^+3k^ and y→=2i^+4j^+8k^, show whether...
Section Formula Projection of a Vector on a Line You can download Vector Algebra Cheat Sheet by clicking on the download button below Important Observations a⃗.b⃗ is a real number If a⃗ and b⃗ are two non-zero vectors, then a⃗.b⃗ = 0 if and only if a⃗ and b⃗...
Mann-Whitney U-test was used in each bioassay for the assessment of significance and the measurement of difference between the test samples. Statistically significant results were considered atP< 0.05. The resistance ratio (RR) was estimated at the LD50level by using the following formula [12]: ...
of local tukuls. The roof was made of corrugated iron sheet. The slits were constructed from pieces of plywood, fixed at an angle of 45° to create a funnel of 1 cm between slits. The window slits were designed in such a way that the mosquitoes could not escape once they entered the...
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The vectors, v1,……vnare linearly dependent if there exist at least one non-trivial combination of these vectors equal to zero vector. Also, read: Vectors Types of vectors Vector Space Solved Examples Question 1: Determine whether x = {1; 2; 3}, y = {1; 1; 1}, z = {1; 2; ...