# Vector Algebra · Mathematics · AP EAPCET

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AP EAPCET 2022 - 4th July Morning Shift
In quadrilateral $$A B C D, \mathbf{A B}=\mathbf{a}, \mathbf{B C}=\mathbf{b}$$. $$\mathbf{D A}=\mathbf{a}-\mathbf{b}, M$$ is the mid-point of $$B C$$ ...
AP EAPCET 2022 - 4th July Morning Shift
The vectors $$3 \mathbf{a}-5 \mathbf{b}$$ and $$2 \mathbf{a}+\mathbf{b}$$ are mutually perpendicular and the vectors $$a+4 b$$ and $$-\mathbf{a}+\math... AP EAPCET 2022 - 4th July Morning Shift Let$$\mathbf{a}=x \hat{i}+y \hat{j}+z \hat{k}$$and$$x=2 y$$. If$$|\mathbf{a}|=5 \sqrt{2}$$and a makes an angle of$$135^{\circ}$$with the Z-axis... AP EAPCET 2022 - 4th July Morning Shift Let$$\mathbf{a}, \mathbf{b}, \mathbf{c}$$be the position vectors of the vertices of a$$\triangle A B C$$. Through the vertices, lines are drawn par... AP EAPCET 2021 - 20th August Morning Shift The position vectors of the points$$A$$and$$B$$with respect to$$O$$are$$2 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+\hat{\mathbf{k}}$$and$$2 \hat{\...
AP EAPCET 2021 - 20th August Morning Shift
Let $$\mathbf{u}=2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+\hat{\mathbf{k}}, \mathbf{v}=-3 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}$$ and $$\mathbf{w}=\hat{\ma... AP EAPCET 2021 - 20th August Morning Shift If a = (1, 1, 0) and b = (1, 1, 1), then unit vector in the plane of a and b and perpendicular to a is AP EAPCET 2021 - 20th August Morning Shift Let$$\mathbf{a}=\hat{\mathbf{i}}$$and$$\mathbf{b}=\hat{\mathbf{j}}$$, the point of intersection of the lines$$\mathbf{r} \times \mathbf{a}=\mathbf...
AP EAPCET 2021 - 19th August Evening Shift
Which of the following vector is equally inclined with the coordinate axes?
AP EAPCET 2021 - 19th August Evening Shift
If $$\hat{\mathbf{i}}+4 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}, \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}$$, and $$3 \hat{\mathbf{i}}+2 \hat... AP EAPCET 2021 - 19th August Evening Shift If$$\mathbf{a}$$and$$\mathbf{b}$$are two vectors such that$$\frac{\mathbf{a} \cdot \mathbf{b}}{|\mathbf{a}||\mathbf{b}|} ...
AP EAPCET 2021 - 19th August Evening Shift
Let $$\mathbf{a}, \mathbf{b}$$ and $$\mathbf{c}$$ be three-unit vectors and $$\mathbf{a} \cdot \mathbf{b}=\mathbf{a} \cdot \mathbf{c}=0$$. If the angl...
AP EAPCET 2021 - 19th August Evening Shift
Let $$x$$ and $$y$$ are real numbers. If $$\mathbf{a}=(\sin x) \hat{\mathbf{i}}+(\sin y) \hat{\mathbf{j}}$$ and $$\mathbf{b}=(\cos x) \hat{\mathbf{i}}... AP EAPCET 2021 - 19th August Morning Shift A vector makes equal angles$$\alpha$$with$$X$$and$$Y$$-axis, and$$90 \Upsilon$$with$$Z$$-axis. Then,$$\alpha$$is equal to (c) 45Yand 135Y (d... AP EAPCET 2021 - 19th August Morning Shift Angle made by the position vector of the point (5,$$-$$4,$$-$$3) with the positive direction of X-axis is AP EAPCET 2021 - 19th August Morning Shift If the volume of the parallelopiped formed by the vectors$$\hat{\mathbf{i}}+a \hat{\mathbf{j}}+\hat{\mathbf{k}}, \hat{\mathbf{j}}+a \hat{\mathbf{k}}\$...
AP EAPCET 2021 - 19th August Morning Shift
If $$\mathbf{a}=\frac{3}{2} \hat{\mathbf{k}}$$ and $$\mathbf{b}=\frac{2 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-\hat{\mathbf{k}}}{2}$$, then angle between...
AP EAPCET 2021 - 19th August Morning Shift
Let $$\mathbf{a}=\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}, \mathbf{b}=\hat{\mathbf{i}}+3 \hat{\mathbf{j}}+5 \hat{\mathbf{k}}$$ and $$\mathbf... AP EAPCET 2021 - 19th August Morning Shift If$$\mathbf{a}$$and$$\mathbf{b}$$are two vectors such that$$|\mathbf{a}|=2, |\mathbf{b}|=3$$and$$\mathbf{a}+t \mathbf{b}$$and$$\mathbf{a}-t \...
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