1
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

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

A
(0, 1, 0)
B
(1, $$-$$1, 0)
C
k
D
(1, 0, 1)
2
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

Let $$\mathbf{a}=\hat{\mathbf{i}}$$ and $$\mathbf{b}=\hat{\mathbf{j}}$$, the point of intersection of the lines $$\mathbf{r} \times \mathbf{a}=\mathbf{b} \times \mathbf{a}$$ and $$\mathbf{r} \times \mathbf{b}=\mathbf{a} \times \mathbf{b}$$ is

A
$$\mathbf{r}=\hat{i}+\hat{j}$$
B
$$\mathbf{r}=\hat{i}-\hat{j}$$
C
$$\mathbf{r}=\hat{k}$$
D
$$\mathbf{r}=2 \hat{i}+\hat{j}$$
3
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

Which of the following vector is equally inclined with the coordinate axes?

A
$$\hat{i}+2 \hat{j}+3 \hat{k}$$
B
$$2 \hat{i}-2 \hat{j}+\hat{k}$$
C
$$3 \hat{i}+3 \hat{j}-3 \hat{k}$$
D
$$4 \hat{i}+4 \hat{j}+4 \hat{k}$$
4
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$\hat{\mathbf{i}}+4 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}, \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}$$, and $$3 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+\hat{\mathbf{k}}$$ are position vectors of $$A, B$$ and $$C$$ respectively and if $$D$$ and $$E$$ are mid points of sides $$B C$$ and $$A C$$, then $$\mathbf{D E}$$ is equal to

A
$$\hat{i}+\hat{j}+\hat{k}$$
B
$$\hat{i}+\hat{j}$$
C
$$\hat{j}$$
D
$$\hat{j}+\hat{k}$$
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